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Finding the Third Proportional to 123.75 and 291.66

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Solution

The third proportional to 123.75 and 291.66 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 291.66 = 291.66 : x
  2. Step 2: Convert to fraction form
    123.75/291.66 = 291.66/x
  3. Step 3: Cross multiply
    123.75x = 291.66 × 291.66
  4. Step 4: Simplify right side
    123.75x = 85,063.37
  5. Step 5: Solve for x
    x = 85,063.37/123.75
  6. Step 6: Final answer
    x = 687.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.