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Finding the Third Proportional to 708.43 and 1,101.57

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Solution

The third proportional to 708.43 and 1,101.57 is: 1,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 1,101.57 = 1,101.57 : x
  2. Step 2: Convert to fraction form
    708.43/1,101.57 = 1,101.57/x
  3. Step 3: Cross multiply
    708.43x = 1,101.57 × 1,101.57
  4. Step 4: Simplify right side
    708.43x = 1,213,452.85
  5. Step 5: Solve for x
    x = 1,213,452.85/708.43
  6. Step 6: Final answer
    x = 1,712.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.