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Finding the Third Proportional to 987.69 and 1,325.31

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Solution

The third proportional to 987.69 and 1,325.31 is: 1,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.69 : 1,325.31 = 1,325.31 : x
  2. Step 2: Convert to fraction form
    987.69/1,325.31 = 1,325.31/x
  3. Step 3: Cross multiply
    987.69x = 1,325.31 × 1,325.31
  4. Step 4: Simplify right side
    987.69x = 1,756,453.22
  5. Step 5: Solve for x
    x = 1,756,453.22/987.69
  6. Step 6: Final answer
    x = 1,778.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.