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Finding the Third Proportional to 66,538 and 102,561

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Solution

The third proportional to 66,538 and 102,561 is: 158,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 102,561 = 102,561 : x
  2. Step 2: Convert to fraction form
    66,538/102,561 = 102,561/x
  3. Step 3: Cross multiply
    66,538x = 102,561 × 102,561
  4. Step 4: Simplify right side
    66,538x = 10,518,758,721
  5. Step 5: Solve for x
    x = 10,518,758,721/66,538
  6. Step 6: Final answer
    x = 158,086.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.