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Finding the Third Proportional to 295.52 and 644.20

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Solution

The third proportional to 295.52 and 644.20 is: 1,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 644.20 = 644.20 : x
  2. Step 2: Convert to fraction form
    295.52/644.20 = 644.20/x
  3. Step 3: Cross multiply
    295.52x = 644.20 × 644.20
  4. Step 4: Simplify right side
    295.52x = 414,997.67
  5. Step 5: Solve for x
    x = 414,997.67/295.52
  6. Step 6: Final answer
    x = 1,404.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.