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Finding the Third Proportional to 66,325 and 136,538

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Solution

The third proportional to 66,325 and 136,538 is: 281,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,325 : 136,538 = 136,538 : x
  2. Step 2: Convert to fraction form
    66,325/136,538 = 136,538/x
  3. Step 3: Cross multiply
    66,325x = 136,538 × 136,538
  4. Step 4: Simplify right side
    66,325x = 18,642,625,444
  5. Step 5: Solve for x
    x = 18,642,625,444/66,325
  6. Step 6: Final answer
    x = 281,079.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.