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Finding the Third Proportional to 822.09 and 1,257.61

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Solution

The third proportional to 822.09 and 1,257.61 is: 1,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.09 : 1,257.61 = 1,257.61 : x
  2. Step 2: Convert to fraction form
    822.09/1,257.61 = 1,257.61/x
  3. Step 3: Cross multiply
    822.09x = 1,257.61 × 1,257.61
  4. Step 4: Simplify right side
    822.09x = 1,581,581.34
  5. Step 5: Solve for x
    x = 1,581,581.34/822.09
  6. Step 6: Final answer
    x = 1,923.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.