Home / 335,311-470,980

Finding the Third Proportional to 335,311 and 470,980

Calculator

Solution

The third proportional to 335,311 and 470,980 is: 661,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,311 : 470,980 = 470,980 : x
  2. Step 2: Convert to fraction form
    335,311/470,980 = 470,980/x
  3. Step 3: Cross multiply
    335,311x = 470,980 × 470,980
  4. Step 4: Simplify right side
    335,311x = 221,822,160,400
  5. Step 5: Solve for x
    x = 221,822,160,400/335,311
  6. Step 6: Final answer
    x = 661,541.56

Related Problems

Find third proportional to 167,655.50 and 235,490
Half scale
Find third proportional to 670,622 and 941,960
Double scale
Find third proportional to 335,313 and 470,983
Similar ratio
Find third proportional to 502,966.50 and 706,470
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.