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Finding the Third Proportional to 806.84 and 1,252.02

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Solution

The third proportional to 806.84 and 1,252.02 is: 1,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.84 : 1,252.02 = 1,252.02 : x
  2. Step 2: Convert to fraction form
    806.84/1,252.02 = 1,252.02/x
  3. Step 3: Cross multiply
    806.84x = 1,252.02 × 1,252.02
  4. Step 4: Simplify right side
    806.84x = 1,567,552.91
  5. Step 5: Solve for x
    x = 1,567,552.91/806.84
  6. Step 6: Final answer
    x = 1,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.