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Finding the Third Proportional to 959.91 and 1,339.31

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Solution

The third proportional to 959.91 and 1,339.31 is: 1,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.91 : 1,339.31 = 1,339.31 : x
  2. Step 2: Convert to fraction form
    959.91/1,339.31 = 1,339.31/x
  3. Step 3: Cross multiply
    959.91x = 1,339.31 × 1,339.31
  4. Step 4: Simplify right side
    959.91x = 1,793,757.97
  5. Step 5: Solve for x
    x = 1,793,757.97/959.91
  6. Step 6: Final answer
    x = 1,868.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.