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Finding the Third Proportional to 87,920 and 129,948

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Solution

The third proportional to 87,920 and 129,948 is: 192,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,920 : 129,948 = 129,948 : x
  2. Step 2: Convert to fraction form
    87,920/129,948 = 129,948/x
  3. Step 3: Cross multiply
    87,920x = 129,948 × 129,948
  4. Step 4: Simplify right side
    87,920x = 16,886,482,704
  5. Step 5: Solve for x
    x = 16,886,482,704/87,920
  6. Step 6: Final answer
    x = 192,066.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.