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Finding the Third Proportional to 811.97 and 1,347.05

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Solution

The third proportional to 811.97 and 1,347.05 is: 2,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,347.05 = 1,347.05 : x
  2. Step 2: Convert to fraction form
    811.97/1,347.05 = 1,347.05/x
  3. Step 3: Cross multiply
    811.97x = 1,347.05 × 1,347.05
  4. Step 4: Simplify right side
    811.97x = 1,814,535.28
  5. Step 5: Solve for x
    x = 1,814,535.28/811.97
  6. Step 6: Final answer
    x = 2,234.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.