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Finding the Third Proportional to 123.50 and 267.13

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Solution

The third proportional to 123.50 and 267.13 is: 577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.50 : 267.13 = 267.13 : x
  2. Step 2: Convert to fraction form
    123.50/267.13 = 267.13/x
  3. Step 3: Cross multiply
    123.50x = 267.13 × 267.13
  4. Step 4: Simplify right side
    123.50x = 71,355.77
  5. Step 5: Solve for x
    x = 71,355.77/123.50
  6. Step 6: Final answer
    x = 577.78

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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.