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Finding the Third Proportional to 177.50 and 239.81

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Solution

The third proportional to 177.50 and 239.81 is: 324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 239.81 = 239.81 : x
  2. Step 2: Convert to fraction form
    177.50/239.81 = 239.81/x
  3. Step 3: Cross multiply
    177.50x = 239.81 × 239.81
  4. Step 4: Simplify right side
    177.50x = 57,510.04
  5. Step 5: Solve for x
    x = 57,510.04/177.50
  6. Step 6: Final answer
    x = 324.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.