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Finding the Third Proportional to 781.59 and 1,160.44

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Solution

The third proportional to 781.59 and 1,160.44 is: 1,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.59 : 1,160.44 = 1,160.44 : x
  2. Step 2: Convert to fraction form
    781.59/1,160.44 = 1,160.44/x
  3. Step 3: Cross multiply
    781.59x = 1,160.44 × 1,160.44
  4. Step 4: Simplify right side
    781.59x = 1,346,615.19
  5. Step 5: Solve for x
    x = 1,346,615.19/781.59
  6. Step 6: Final answer
    x = 1,722.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.