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Finding the Third Proportional to 432.56 and 638.44

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Solution

The third proportional to 432.56 and 638.44 is: 942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 638.44 = 638.44 : x
  2. Step 2: Convert to fraction form
    432.56/638.44 = 638.44/x
  3. Step 3: Cross multiply
    432.56x = 638.44 × 638.44
  4. Step 4: Simplify right side
    432.56x = 407,602.44
  5. Step 5: Solve for x
    x = 407,602.44/432.56
  6. Step 6: Final answer
    x = 942.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.