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Finding the Third Proportional to 123.68 and 260.93

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Solution

The third proportional to 123.68 and 260.93 is: 550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 260.93 = 260.93 : x
  2. Step 2: Convert to fraction form
    123.68/260.93 = 260.93/x
  3. Step 3: Cross multiply
    123.68x = 260.93 × 260.93
  4. Step 4: Simplify right side
    123.68x = 68,084.30
  5. Step 5: Solve for x
    x = 68,084.30/123.68
  6. Step 6: Final answer
    x = 550.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.