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Finding the Third Proportional to 658 and 988.75

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Solution

The third proportional to 658 and 988.75 is: 1,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    658 : 988.75 = 988.75 : x
  2. Step 2: Convert to fraction form
    658/988.75 = 988.75/x
  3. Step 3: Cross multiply
    658x = 988.75 × 988.75
  4. Step 4: Simplify right side
    658x = 977,626.56
  5. Step 5: Solve for x
    x = 977,626.56/658
  6. Step 6: Final answer
    x = 1,485.75

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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.