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Finding the Third Proportional to 123.87 and 260.56

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Solution

The third proportional to 123.87 and 260.56 is: 548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 260.56 = 260.56 : x
  2. Step 2: Convert to fraction form
    123.87/260.56 = 260.56/x
  3. Step 3: Cross multiply
    123.87x = 260.56 × 260.56
  4. Step 4: Simplify right side
    123.87x = 67,891.80
  5. Step 5: Solve for x
    x = 67,891.80/123.87
  6. Step 6: Final answer
    x = 548.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.