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Finding the Third Proportional to 99,332 and 155,398

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Solution

The third proportional to 99,332 and 155,398 is: 243,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,332 : 155,398 = 155,398 : x
  2. Step 2: Convert to fraction form
    99,332/155,398 = 155,398/x
  3. Step 3: Cross multiply
    99,332x = 155,398 × 155,398
  4. Step 4: Simplify right side
    99,332x = 24,148,538,404
  5. Step 5: Solve for x
    x = 24,148,538,404/99,332
  6. Step 6: Final answer
    x = 243,109.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.