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Finding the Third Proportional to 432.75 and 648.38

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Solution

The third proportional to 432.75 and 648.38 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 648.38 = 648.38 : x
  2. Step 2: Convert to fraction form
    432.75/648.38 = 648.38/x
  3. Step 3: Cross multiply
    432.75x = 648.38 × 648.38
  4. Step 4: Simplify right side
    432.75x = 420,390.14
  5. Step 5: Solve for x
    x = 420,390.14/432.75
  6. Step 6: Final answer
    x = 971.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.