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Finding the Third Proportional to 337,916 and 472,429

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Solution

The third proportional to 337,916 and 472,429 is: 660,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,916 : 472,429 = 472,429 : x
  2. Step 2: Convert to fraction form
    337,916/472,429 = 472,429/x
  3. Step 3: Cross multiply
    337,916x = 472,429 × 472,429
  4. Step 4: Simplify right side
    337,916x = 223,189,160,041
  5. Step 5: Solve for x
    x = 223,189,160,041/337,916
  6. Step 6: Final answer
    x = 660,487.10

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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.