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Finding the Third Proportional to 1,331.28 and 1,744.90

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Solution

The third proportional to 1,331.28 and 1,744.90 is: 2,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.28 : 1,744.90 = 1,744.90 : x
  2. Step 2: Convert to fraction form
    1,331.28/1,744.90 = 1,744.90/x
  3. Step 3: Cross multiply
    1,331.28x = 1,744.90 × 1,744.90
  4. Step 4: Simplify right side
    1,331.28x = 3,044,680.78
  5. Step 5: Solve for x
    x = 3,044,680.78/1,331.28
  6. Step 6: Final answer
    x = 2,287.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.