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Finding the Third Proportional to 86,732 and 129,364

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Solution

The third proportional to 86,732 and 129,364 is: 192,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,732 : 129,364 = 129,364 : x
  2. Step 2: Convert to fraction form
    86,732/129,364 = 129,364/x
  3. Step 3: Cross multiply
    86,732x = 129,364 × 129,364
  4. Step 4: Simplify right side
    86,732x = 16,735,044,496
  5. Step 5: Solve for x
    x = 16,735,044,496/86,732
  6. Step 6: Final answer
    x = 192,951.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.