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Finding the Third Proportional to 535,854 and 729,720

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Solution

The third proportional to 535,854 and 729,720 is: 993,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,854 : 729,720 = 729,720 : x
  2. Step 2: Convert to fraction form
    535,854/729,720 = 729,720/x
  3. Step 3: Cross multiply
    535,854x = 729,720 × 729,720
  4. Step 4: Simplify right side
    535,854x = 532,491,278,400
  5. Step 5: Solve for x
    x = 532,491,278,400/535,854
  6. Step 6: Final answer
    x = 993,724.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.