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Finding the Third Proportional to 81,681 and 122,517

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Solution

The third proportional to 81,681 and 122,517 is: 183,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,681 : 122,517 = 122,517 : x
  2. Step 2: Convert to fraction form
    81,681/122,517 = 122,517/x
  3. Step 3: Cross multiply
    81,681x = 122,517 × 122,517
  4. Step 4: Simplify right side
    81,681x = 15,010,415,289
  5. Step 5: Solve for x
    x = 15,010,415,289/81,681
  6. Step 6: Final answer
    x = 183,768.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.