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Finding the Third Proportional to 1,242.38 and 1,984.13

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Solution

The third proportional to 1,242.38 and 1,984.13 is: 3,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.38 : 1,984.13 = 1,984.13 : x
  2. Step 2: Convert to fraction form
    1,242.38/1,984.13 = 1,984.13/x
  3. Step 3: Cross multiply
    1,242.38x = 1,984.13 × 1,984.13
  4. Step 4: Simplify right side
    1,242.38x = 3,936,752.02
  5. Step 5: Solve for x
    x = 3,936,752.02/1,242.38
  6. Step 6: Final answer
    x = 3,168.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.