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Finding the Third Proportional to 81,604 and 127,669

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Solution

The third proportional to 81,604 and 127,669 is: 199,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604 : 127,669 = 127,669 : x
  2. Step 2: Convert to fraction form
    81,604/127,669 = 127,669/x
  3. Step 3: Cross multiply
    81,604x = 127,669 × 127,669
  4. Step 4: Simplify right side
    81,604x = 16,299,373,561
  5. Step 5: Solve for x
    x = 16,299,373,561/81,604
  6. Step 6: Final answer
    x = 199,737.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.