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Finding the Third Proportional to 313,426.13 and 472,419

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Solution

The third proportional to 313,426.13 and 472,419 is: 712,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426.13 : 472,419 = 472,419 : x
  2. Step 2: Convert to fraction form
    313,426.13/472,419 = 472,419/x
  3. Step 3: Cross multiply
    313,426.13x = 472,419 × 472,419
  4. Step 4: Simplify right side
    313,426.13x = 223,179,711,561
  5. Step 5: Solve for x
    x = 223,179,711,561/313,426.13
  6. Step 6: Final answer
    x = 712,064.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.