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Finding the Third Proportional to 40,080 and 71,412

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Solution

The third proportional to 40,080 and 71,412 is: 127,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,080 : 71,412 = 71,412 : x
  2. Step 2: Convert to fraction form
    40,080/71,412 = 71,412/x
  3. Step 3: Cross multiply
    40,080x = 71,412 × 71,412
  4. Step 4: Simplify right side
    40,080x = 5,099,673,744
  5. Step 5: Solve for x
    x = 5,099,673,744/40,080
  6. Step 6: Final answer
    x = 127,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.