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Finding the Third Proportional to 119.53 and 261.81

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Solution

The third proportional to 119.53 and 261.81 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 261.81 = 261.81 : x
  2. Step 2: Convert to fraction form
    119.53/261.81 = 261.81/x
  3. Step 3: Cross multiply
    119.53x = 261.81 × 261.81
  4. Step 4: Simplify right side
    119.53x = 68,545.79
  5. Step 5: Solve for x
    x = 68,545.79/119.53
  6. Step 6: Final answer
    x = 573.45

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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.