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Finding the Third Proportional to 648.84 and 1,382.91

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Solution

The third proportional to 648.84 and 1,382.91 is: 2,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 1,382.91 = 1,382.91 : x
  2. Step 2: Convert to fraction form
    648.84/1,382.91 = 1,382.91/x
  3. Step 3: Cross multiply
    648.84x = 1,382.91 × 1,382.91
  4. Step 4: Simplify right side
    648.84x = 1,912,429.70
  5. Step 5: Solve for x
    x = 1,912,429.70/648.84
  6. Step 6: Final answer
    x = 2,947.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.