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Finding the Third Proportional to 80,619 and 127,113

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Solution

The third proportional to 80,619 and 127,113 is: 200,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,619 : 127,113 = 127,113 : x
  2. Step 2: Convert to fraction form
    80,619/127,113 = 127,113/x
  3. Step 3: Cross multiply
    80,619x = 127,113 × 127,113
  4. Step 4: Simplify right side
    80,619x = 16,157,714,769
  5. Step 5: Solve for x
    x = 16,157,714,769/80,619
  6. Step 6: Final answer
    x = 200,420.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.