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Finding the Third Proportional to 294.26 and 644.52

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Solution

The third proportional to 294.26 and 644.52 is: 1,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 644.52 = 644.52 : x
  2. Step 2: Convert to fraction form
    294.26/644.52 = 644.52/x
  3. Step 3: Cross multiply
    294.26x = 644.52 × 644.52
  4. Step 4: Simplify right side
    294.26x = 415,405.43
  5. Step 5: Solve for x
    x = 415,405.43/294.26
  6. Step 6: Final answer
    x = 1,411.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.