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Finding the Third Proportional to 123.87 and 267.36

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Solution

The third proportional to 123.87 and 267.36 is: 577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 267.36 = 267.36 : x
  2. Step 2: Convert to fraction form
    123.87/267.36 = 267.36/x
  3. Step 3: Cross multiply
    123.87x = 267.36 × 267.36
  4. Step 4: Simplify right side
    123.87x = 71,483.12
  5. Step 5: Solve for x
    x = 71,483.12/123.87
  6. Step 6: Final answer
    x = 577.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.