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Finding the Third Proportional to 987.33 and 2,193.61

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Solution

The third proportional to 987.33 and 2,193.61 is: 4,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.33 : 2,193.61 = 2,193.61 : x
  2. Step 2: Convert to fraction form
    987.33/2,193.61 = 2,193.61/x
  3. Step 3: Cross multiply
    987.33x = 2,193.61 × 2,193.61
  4. Step 4: Simplify right side
    987.33x = 4,811,922.09
  5. Step 5: Solve for x
    x = 4,811,922.09/987.33
  6. Step 6: Final answer
    x = 4,873.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.