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Finding the Third Proportional to 165,732 and 253,414

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Solution

The third proportional to 165,732 and 253,414 is: 387,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,732 : 253,414 = 253,414 : x
  2. Step 2: Convert to fraction form
    165,732/253,414 = 253,414/x
  3. Step 3: Cross multiply
    165,732x = 253,414 × 253,414
  4. Step 4: Simplify right side
    165,732x = 64,218,655,396
  5. Step 5: Solve for x
    x = 64,218,655,396/165,732
  6. Step 6: Final answer
    x = 387,484.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.