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Finding the Third Proportional to 84,080 and 126,431

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Solution

The third proportional to 84,080 and 126,431 is: 190,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,080 : 126,431 = 126,431 : x
  2. Step 2: Convert to fraction form
    84,080/126,431 = 126,431/x
  3. Step 3: Cross multiply
    84,080x = 126,431 × 126,431
  4. Step 4: Simplify right side
    84,080x = 15,984,797,761
  5. Step 5: Solve for x
    x = 15,984,797,761/84,080
  6. Step 6: Final answer
    x = 190,114.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.