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Finding the Third Proportional to 402.56 and 604.88

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Solution

The third proportional to 402.56 and 604.88 is: 908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.56 : 604.88 = 604.88 : x
  2. Step 2: Convert to fraction form
    402.56/604.88 = 604.88/x
  3. Step 3: Cross multiply
    402.56x = 604.88 × 604.88
  4. Step 4: Simplify right side
    402.56x = 365,873.77
  5. Step 5: Solve for x
    x = 365,873.77/402.56
  6. Step 6: Final answer
    x = 908.86

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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.