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Finding the Third Proportional to 69,996 and 108,561

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Solution

The third proportional to 69,996 and 108,561 is: 168,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,996 : 108,561 = 108,561 : x
  2. Step 2: Convert to fraction form
    69,996/108,561 = 108,561/x
  3. Step 3: Cross multiply
    69,996x = 108,561 × 108,561
  4. Step 4: Simplify right side
    69,996x = 11,785,490,721
  5. Step 5: Solve for x
    x = 11,785,490,721/69,996
  6. Step 6: Final answer
    x = 168,373.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.