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Finding the Third Proportional to 809.68 and 1,156.15

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Solution

The third proportional to 809.68 and 1,156.15 is: 1,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.68 : 1,156.15 = 1,156.15 : x
  2. Step 2: Convert to fraction form
    809.68/1,156.15 = 1,156.15/x
  3. Step 3: Cross multiply
    809.68x = 1,156.15 × 1,156.15
  4. Step 4: Simplify right side
    809.68x = 1,336,679.21
  5. Step 5: Solve for x
    x = 1,336,679.21/809.68
  6. Step 6: Final answer
    x = 1,650.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.