Home / 313,426-470,146

Finding the Third Proportional to 313,426 and 470,146

Calculator

Solution

The third proportional to 313,426 and 470,146 is: 705,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426 : 470,146 = 470,146 : x
  2. Step 2: Convert to fraction form
    313,426/470,146 = 470,146/x
  3. Step 3: Cross multiply
    313,426x = 470,146 × 470,146
  4. Step 4: Simplify right side
    313,426x = 221,037,261,316
  5. Step 5: Solve for x
    x = 221,037,261,316/313,426
  6. Step 6: Final answer
    x = 705,229.50

Related Problems

Find third proportional to 156,713 and 235,073
Half scale
Find third proportional to 626,852 and 940,292
Double scale
Find third proportional to 313,428 and 470,149
Similar ratio
Find third proportional to 470,139 and 705,219
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.