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Finding the Third Proportional to 71,288 and 153,988

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Solution

The third proportional to 71,288 and 153,988 is: 332,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288 : 153,988 = 153,988 : x
  2. Step 2: Convert to fraction form
    71,288/153,988 = 153,988/x
  3. Step 3: Cross multiply
    71,288x = 153,988 × 153,988
  4. Step 4: Simplify right side
    71,288x = 23,712,304,144
  5. Step 5: Solve for x
    x = 23,712,304,144/71,288
  6. Step 6: Final answer
    x = 332,626.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.