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Finding the Third Proportional to 807.19 and 1,689.19

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Solution

The third proportional to 807.19 and 1,689.19 is: 3,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.19 : 1,689.19 = 1,689.19 : x
  2. Step 2: Convert to fraction form
    807.19/1,689.19 = 1,689.19/x
  3. Step 3: Cross multiply
    807.19x = 1,689.19 × 1,689.19
  4. Step 4: Simplify right side
    807.19x = 2,853,354.41
  5. Step 5: Solve for x
    x = 2,853,354.41/807.19
  6. Step 6: Final answer
    x = 3,534.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.