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Finding the Third Proportional to 53,730 and 75,531

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Solution

The third proportional to 53,730 and 75,531 is: 106,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,730 : 75,531 = 75,531 : x
  2. Step 2: Convert to fraction form
    53,730/75,531 = 75,531/x
  3. Step 3: Cross multiply
    53,730x = 75,531 × 75,531
  4. Step 4: Simplify right side
    53,730x = 5,704,931,961
  5. Step 5: Solve for x
    x = 5,704,931,961/53,730
  6. Step 6: Final answer
    x = 106,177.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.