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Finding the Third Proportional to 329.78 and 497.22

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Solution

The third proportional to 329.78 and 497.22 is: 749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 497.22 = 497.22 : x
  2. Step 2: Convert to fraction form
    329.78/497.22 = 497.22/x
  3. Step 3: Cross multiply
    329.78x = 497.22 × 497.22
  4. Step 4: Simplify right side
    329.78x = 247,226.49
  5. Step 5: Solve for x
    x = 247,226.49/329.78
  6. Step 6: Final answer
    x = 749.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.