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Finding the Third Proportional to 865.41 and 1,353.80

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Solution

The third proportional to 865.41 and 1,353.80 is: 2,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.41 : 1,353.80 = 1,353.80 : x
  2. Step 2: Convert to fraction form
    865.41/1,353.80 = 1,353.80/x
  3. Step 3: Cross multiply
    865.41x = 1,353.80 × 1,353.80
  4. Step 4: Simplify right side
    865.41x = 1,832,765.98
  5. Step 5: Solve for x
    x = 1,832,765.98/865.41
  6. Step 6: Final answer
    x = 2,117.81

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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.