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Finding the Third Proportional to 402,838.31 and 545,167.97

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Solution

The third proportional to 402,838.31 and 545,167.97 is: 737,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,838.31 : 545,167.97 = 545,167.97 : x
  2. Step 2: Convert to fraction form
    402,838.31/545,167.97 = 545,167.97/x
  3. Step 3: Cross multiply
    402,838.31x = 545,167.97 × 545,167.97
  4. Step 4: Simplify right side
    402,838.31x = 297,208,114,151.00
  5. Step 5: Solve for x
    x = 297,208,114,151.00/402,838.31
  6. Step 6: Final answer
    x = 737,785.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.