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Finding the Third Proportional to 83,920 and 128,808

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Solution

The third proportional to 83,920 and 128,808 is: 197,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920 : 128,808 = 128,808 : x
  2. Step 2: Convert to fraction form
    83,920/128,808 = 128,808/x
  3. Step 3: Cross multiply
    83,920x = 128,808 × 128,808
  4. Step 4: Simplify right side
    83,920x = 16,591,500,864
  5. Step 5: Solve for x
    x = 16,591,500,864/83,920
  6. Step 6: Final answer
    x = 197,706.16

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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.