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Finding the Third Proportional to 77,474 and 109,098

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Solution

The third proportional to 77,474 and 109,098 is: 153,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474 : 109,098 = 109,098 : x
  2. Step 2: Convert to fraction form
    77,474/109,098 = 109,098/x
  3. Step 3: Cross multiply
    77,474x = 109,098 × 109,098
  4. Step 4: Simplify right side
    77,474x = 11,902,373,604
  5. Step 5: Solve for x
    x = 11,902,373,604/77,474
  6. Step 6: Final answer
    x = 153,630.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.