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Finding the Third Proportional to 644.84 and 1,358.96

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Solution

The third proportional to 644.84 and 1,358.96 is: 2,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 1,358.96 = 1,358.96 : x
  2. Step 2: Convert to fraction form
    644.84/1,358.96 = 1,358.96/x
  3. Step 3: Cross multiply
    644.84x = 1,358.96 × 1,358.96
  4. Step 4: Simplify right side
    644.84x = 1,846,785.45
  5. Step 5: Solve for x
    x = 1,846,785.45/644.84
  6. Step 6: Final answer
    x = 2,863.96

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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.