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Finding the Third Proportional to 987.82 and 1,485.84

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Solution

The third proportional to 987.82 and 1,485.84 is: 2,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.82 : 1,485.84 = 1,485.84 : x
  2. Step 2: Convert to fraction form
    987.82/1,485.84 = 1,485.84/x
  3. Step 3: Cross multiply
    987.82x = 1,485.84 × 1,485.84
  4. Step 4: Simplify right side
    987.82x = 2,207,731.65
  5. Step 5: Solve for x
    x = 2,207,731.65/987.82
  6. Step 6: Final answer
    x = 2,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.