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Finding the Third Proportional to 244.41 and 391.78

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Solution

The third proportional to 244.41 and 391.78 is: 628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.41 : 391.78 = 391.78 : x
  2. Step 2: Convert to fraction form
    244.41/391.78 = 391.78/x
  3. Step 3: Cross multiply
    244.41x = 391.78 × 391.78
  4. Step 4: Simplify right side
    244.41x = 153,492.55
  5. Step 5: Solve for x
    x = 153,492.55/244.41
  6. Step 6: Final answer
    x = 628.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.