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Finding the Third Proportional to 298.48 and 462.80

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Solution

The third proportional to 298.48 and 462.80 is: 717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.48 : 462.80 = 462.80 : x
  2. Step 2: Convert to fraction form
    298.48/462.80 = 462.80/x
  3. Step 3: Cross multiply
    298.48x = 462.80 × 462.80
  4. Step 4: Simplify right side
    298.48x = 214,180.95
  5. Step 5: Solve for x
    x = 214,180.95/298.48
  6. Step 6: Final answer
    x = 717.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.