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Finding the Third Proportional to 88.25 and 239.38

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Solution

The third proportional to 88.25 and 239.38 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.25 : 239.38 = 239.38 : x
  2. Step 2: Convert to fraction form
    88.25/239.38 = 239.38/x
  3. Step 3: Cross multiply
    88.25x = 239.38 × 239.38
  4. Step 4: Simplify right side
    88.25x = 57,300.39
  5. Step 5: Solve for x
    x = 57,300.39/88.25
  6. Step 6: Final answer
    x = 649.30

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.