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Finding the Third Proportional to 100,331 and 133,820

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Solution

The third proportional to 100,331 and 133,820 is: 178,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331 : 133,820 = 133,820 : x
  2. Step 2: Convert to fraction form
    100,331/133,820 = 133,820/x
  3. Step 3: Cross multiply
    100,331x = 133,820 × 133,820
  4. Step 4: Simplify right side
    100,331x = 17,907,792,400
  5. Step 5: Solve for x
    x = 17,907,792,400/100,331
  6. Step 6: Final answer
    x = 178,487.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.