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Finding the Third Proportional to 124.88 and 266.38

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Solution

The third proportional to 124.88 and 266.38 is: 568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.88 : 266.38 = 266.38 : x
  2. Step 2: Convert to fraction form
    124.88/266.38 = 266.38/x
  3. Step 3: Cross multiply
    124.88x = 266.38 × 266.38
  4. Step 4: Simplify right side
    124.88x = 70,955.64
  5. Step 5: Solve for x
    x = 70,955.64/124.88
  6. Step 6: Final answer
    x = 568.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.