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Finding the Third Proportional to 215.47 and 282.87

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Solution

The third proportional to 215.47 and 282.87 is: 371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 282.87 = 282.87 : x
  2. Step 2: Convert to fraction form
    215.47/282.87 = 282.87/x
  3. Step 3: Cross multiply
    215.47x = 282.87 × 282.87
  4. Step 4: Simplify right side
    215.47x = 80,013.85
  5. Step 5: Solve for x
    x = 80,013.85/215.47
  6. Step 6: Final answer
    x = 371.34

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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.