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Finding the Third Proportional to 125.84 and 266.81

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Solution

The third proportional to 125.84 and 266.81 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 266.81 = 266.81 : x
  2. Step 2: Convert to fraction form
    125.84/266.81 = 266.81/x
  3. Step 3: Cross multiply
    125.84x = 266.81 × 266.81
  4. Step 4: Simplify right side
    125.84x = 71,188.91
  5. Step 5: Solve for x
    x = 71,188.91/125.84
  6. Step 6: Final answer
    x = 565.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.