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Finding the Third Proportional to 802 and 1,691.75

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Solution

The third proportional to 802 and 1,691.75 is: 3,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,691.75 = 1,691.75 : x
  2. Step 2: Convert to fraction form
    802/1,691.75 = 1,691.75/x
  3. Step 3: Cross multiply
    802x = 1,691.75 × 1,691.75
  4. Step 4: Simplify right side
    802x = 2,862,018.06
  5. Step 5: Solve for x
    x = 2,862,018.06/802
  6. Step 6: Final answer
    x = 3,568.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.