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Finding the Third Proportional to 80,615.25 and 127,109.25

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Solution

The third proportional to 80,615.25 and 127,109.25 is: 200,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,615.25 : 127,109.25 = 127,109.25 : x
  2. Step 2: Convert to fraction form
    80,615.25/127,109.25 = 127,109.25/x
  3. Step 3: Cross multiply
    80,615.25x = 127,109.25 × 127,109.25
  4. Step 4: Simplify right side
    80,615.25x = 16,156,761,435.56
  5. Step 5: Solve for x
    x = 16,156,761,435.56/80,615.25
  6. Step 6: Final answer
    x = 200,418.18

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