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Finding the Third Proportional to 69,252 and 151,680

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Solution

The third proportional to 69,252 and 151,680 is: 332,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,252 : 151,680 = 151,680 : x
  2. Step 2: Convert to fraction form
    69,252/151,680 = 151,680/x
  3. Step 3: Cross multiply
    69,252x = 151,680 × 151,680
  4. Step 4: Simplify right side
    69,252x = 23,006,822,400
  5. Step 5: Solve for x
    x = 23,006,822,400/69,252
  6. Step 6: Final answer
    x = 332,218.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.