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Finding the Third Proportional to 809.11 and 1,294.76

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Solution

The third proportional to 809.11 and 1,294.76 is: 2,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.11 : 1,294.76 = 1,294.76 : x
  2. Step 2: Convert to fraction form
    809.11/1,294.76 = 1,294.76/x
  3. Step 3: Cross multiply
    809.11x = 1,294.76 × 1,294.76
  4. Step 4: Simplify right side
    809.11x = 1,676,404.31
  5. Step 5: Solve for x
    x = 1,676,404.31/809.11
  6. Step 6: Final answer
    x = 2,071.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.