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Finding the Third Proportional to 119.72 and 261.87

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Solution

The third proportional to 119.72 and 261.87 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 261.87 = 261.87 : x
  2. Step 2: Convert to fraction form
    119.72/261.87 = 261.87/x
  3. Step 3: Cross multiply
    119.72x = 261.87 × 261.87
  4. Step 4: Simplify right side
    119.72x = 68,574.42
  5. Step 5: Solve for x
    x = 68,574.42/119.72
  6. Step 6: Final answer
    x = 572.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.