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Finding the Third Proportional to 987.25 and 2,126.38

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Solution

The third proportional to 987.25 and 2,126.38 is: 4,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.25 : 2,126.38 = 2,126.38 : x
  2. Step 2: Convert to fraction form
    987.25/2,126.38 = 2,126.38/x
  3. Step 3: Cross multiply
    987.25x = 2,126.38 × 2,126.38
  4. Step 4: Simplify right side
    987.25x = 4,521,470.64
  5. Step 5: Solve for x
    x = 4,521,470.64/987.25
  6. Step 6: Final answer
    x = 4,579.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.