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Finding the Third Proportional to 123.87 and 266.26

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Solution

The third proportional to 123.87 and 266.26 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 266.26 = 266.26 : x
  2. Step 2: Convert to fraction form
    123.87/266.26 = 266.26/x
  3. Step 3: Cross multiply
    123.87x = 266.26 × 266.26
  4. Step 4: Simplify right side
    123.87x = 70,892.18
  5. Step 5: Solve for x
    x = 70,892.18/123.87
  6. Step 6: Final answer
    x = 572.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.