Home / 307,420.50-470,458.50

Finding the Third Proportional to 307,420.50 and 470,458.50

Calculator

Solution

The third proportional to 307,420.50 and 470,458.50 is: 719,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420.50 : 470,458.50 = 470,458.50 : x
  2. Step 2: Convert to fraction form
    307,420.50/470,458.50 = 470,458.50/x
  3. Step 3: Cross multiply
    307,420.50x = 470,458.50 × 470,458.50
  4. Step 4: Simplify right side
    307,420.50x = 221,331,200,222.25
  5. Step 5: Solve for x
    x = 221,331,200,222.25/307,420.50
  6. Step 6: Final answer
    x = 719,962.40

Related Problems

Find third proportional to 153,710.25 and 235,229.25
Half scale
Find third proportional to 614,841 and 940,917
Double scale
Find third proportional to 307,423 and 470,462
Similar ratio
Find third proportional to 461,130.75 and 705,687.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.