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Finding the Third Proportional to 537.09 and 1,177.97

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Solution

The third proportional to 537.09 and 1,177.97 is: 2,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 1,177.97 = 1,177.97 : x
  2. Step 2: Convert to fraction form
    537.09/1,177.97 = 1,177.97/x
  3. Step 3: Cross multiply
    537.09x = 1,177.97 × 1,177.97
  4. Step 4: Simplify right side
    537.09x = 1,387,610.38
  5. Step 5: Solve for x
    x = 1,387,610.38/537.09
  6. Step 6: Final answer
    x = 2,583.55

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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.