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Finding the Third Proportional to 80,459.50 and 112,541

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Solution

The third proportional to 80,459.50 and 112,541 is: 157,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,459.50 : 112,541 = 112,541 : x
  2. Step 2: Convert to fraction form
    80,459.50/112,541 = 112,541/x
  3. Step 3: Cross multiply
    80,459.50x = 112,541 × 112,541
  4. Step 4: Simplify right side
    80,459.50x = 12,665,476,681
  5. Step 5: Solve for x
    x = 12,665,476,681/80,459.50
  6. Step 6: Final answer
    x = 157,414.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.