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Finding the Third Proportional to 81,709 and 122,522

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Solution

The third proportional to 81,709 and 122,522 is: 183,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709 : 122,522 = 122,522 : x
  2. Step 2: Convert to fraction form
    81,709/122,522 = 122,522/x
  3. Step 3: Cross multiply
    81,709x = 122,522 × 122,522
  4. Step 4: Simplify right side
    81,709x = 15,011,640,484
  5. Step 5: Solve for x
    x = 15,011,640,484/81,709
  6. Step 6: Final answer
    x = 183,720.77

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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.