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Finding the Third Proportional to 987.50 and 1,317.25

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Solution

The third proportional to 987.50 and 1,317.25 is: 1,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.50 : 1,317.25 = 1,317.25 : x
  2. Step 2: Convert to fraction form
    987.50/1,317.25 = 1,317.25/x
  3. Step 3: Cross multiply
    987.50x = 1,317.25 × 1,317.25
  4. Step 4: Simplify right side
    987.50x = 1,735,147.56
  5. Step 5: Solve for x
    x = 1,735,147.56/987.50
  6. Step 6: Final answer
    x = 1,757.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.