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Finding the Third Proportional to 865.38 and 1,352.13

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Solution

The third proportional to 865.38 and 1,352.13 is: 2,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,352.13 = 1,352.13 : x
  2. Step 2: Convert to fraction form
    865.38/1,352.13 = 1,352.13/x
  3. Step 3: Cross multiply
    865.38x = 1,352.13 × 1,352.13
  4. Step 4: Simplify right side
    865.38x = 1,828,242.02
  5. Step 5: Solve for x
    x = 1,828,242.02/865.38
  6. Step 6: Final answer
    x = 2,112.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.