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Finding the Third Proportional to 129,878 and 176,001

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Solution

The third proportional to 129,878 and 176,001 is: 238,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,878 : 176,001 = 176,001 : x
  2. Step 2: Convert to fraction form
    129,878/176,001 = 176,001/x
  3. Step 3: Cross multiply
    129,878x = 176,001 × 176,001
  4. Step 4: Simplify right side
    129,878x = 30,976,352,001
  5. Step 5: Solve for x
    x = 30,976,352,001/129,878
  6. Step 6: Final answer
    x = 238,503.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.