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Finding the Third Proportional to 780.97 and 1,159.71

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Solution

The third proportional to 780.97 and 1,159.71 is: 1,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.97 : 1,159.71 = 1,159.71 : x
  2. Step 2: Convert to fraction form
    780.97/1,159.71 = 1,159.71/x
  3. Step 3: Cross multiply
    780.97x = 1,159.71 × 1,159.71
  4. Step 4: Simplify right side
    780.97x = 1,344,922.66
  5. Step 5: Solve for x
    x = 1,344,922.66/780.97
  6. Step 6: Final answer
    x = 1,722.12

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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.