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Finding the Third Proportional to 57,730 and 91,528

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Solution

The third proportional to 57,730 and 91,528 is: 145,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730 : 91,528 = 91,528 : x
  2. Step 2: Convert to fraction form
    57,730/91,528 = 91,528/x
  3. Step 3: Cross multiply
    57,730x = 91,528 × 91,528
  4. Step 4: Simplify right side
    57,730x = 8,377,374,784
  5. Step 5: Solve for x
    x = 8,377,374,784/57,730
  6. Step 6: Final answer
    x = 145,113.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.