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Finding the Third Proportional to 432.21 and 648.84

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Solution

The third proportional to 432.21 and 648.84 is: 974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.21 : 648.84 = 648.84 : x
  2. Step 2: Convert to fraction form
    432.21/648.84 = 648.84/x
  3. Step 3: Cross multiply
    432.21x = 648.84 × 648.84
  4. Step 4: Simplify right side
    432.21x = 420,998.21
  5. Step 5: Solve for x
    x = 420,998.21/432.21
  6. Step 6: Final answer
    x = 974.06

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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.