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Finding the Third Proportional to 402,711.75 and 544,978.13

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Solution

The third proportional to 402,711.75 and 544,978.13 is: 737,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,711.75 : 544,978.13 = 544,978.13 : x
  2. Step 2: Convert to fraction form
    402,711.75/544,978.13 = 544,978.13/x
  3. Step 3: Cross multiply
    402,711.75x = 544,978.13 × 544,978.13
  4. Step 4: Simplify right side
    402,711.75x = 297,001,156,728.52
  5. Step 5: Solve for x
    x = 297,001,156,728.52/402,711.75
  6. Step 6: Final answer
    x = 737,503.08

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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.