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Finding the Third Proportional to 988.14 and 2,174.90

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Solution

The third proportional to 988.14 and 2,174.90 is: 4,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.14 : 2,174.90 = 2,174.90 : x
  2. Step 2: Convert to fraction form
    988.14/2,174.90 = 2,174.90/x
  3. Step 3: Cross multiply
    988.14x = 2,174.90 × 2,174.90
  4. Step 4: Simplify right side
    988.14x = 4,730,178.97
  5. Step 5: Solve for x
    x = 4,730,178.97/988.14
  6. Step 6: Final answer
    x = 4,786.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.