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Finding the Third Proportional to 123.28 and 266.39

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Solution

The third proportional to 123.28 and 266.39 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.28 : 266.39 = 266.39 : x
  2. Step 2: Convert to fraction form
    123.28/266.39 = 266.39/x
  3. Step 3: Cross multiply
    123.28x = 266.39 × 266.39
  4. Step 4: Simplify right side
    123.28x = 70,963.97
  5. Step 5: Solve for x
    x = 70,963.97/123.28
  6. Step 6: Final answer
    x = 575.63

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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.