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Finding the Third Proportional to 1,248.94 and 1,987.97

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Solution

The third proportional to 1,248.94 and 1,987.97 is: 3,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.94 : 1,987.97 = 1,987.97 : x
  2. Step 2: Convert to fraction form
    1,248.94/1,987.97 = 1,987.97/x
  3. Step 3: Cross multiply
    1,248.94x = 1,987.97 × 1,987.97
  4. Step 4: Simplify right side
    1,248.94x = 3,952,019.75
  5. Step 5: Solve for x
    x = 3,952,019.75/1,248.94
  6. Step 6: Final answer
    x = 3,164.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.