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Finding the Third Proportional to 76,691 and 157,099

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Solution

The third proportional to 76,691 and 157,099 is: 321,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,691 : 157,099 = 157,099 : x
  2. Step 2: Convert to fraction form
    76,691/157,099 = 157,099/x
  3. Step 3: Cross multiply
    76,691x = 157,099 × 157,099
  4. Step 4: Simplify right side
    76,691x = 24,680,095,801
  5. Step 5: Solve for x
    x = 24,680,095,801/76,691
  6. Step 6: Final answer
    x = 321,812.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.