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Finding the Third Proportional to 811.76 and 1,291.71

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Solution

The third proportional to 811.76 and 1,291.71 is: 2,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.76 : 1,291.71 = 1,291.71 : x
  2. Step 2: Convert to fraction form
    811.76/1,291.71 = 1,291.71/x
  3. Step 3: Cross multiply
    811.76x = 1,291.71 × 1,291.71
  4. Step 4: Simplify right side
    811.76x = 1,668,517.15
  5. Step 5: Solve for x
    x = 1,668,517.15/811.76
  6. Step 6: Final answer
    x = 2,055.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.