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Finding the Third Proportional to 198,418 and 299,416

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Solution

The third proportional to 198,418 and 299,416 is: 451,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,418 : 299,416 = 299,416 : x
  2. Step 2: Convert to fraction form
    198,418/299,416 = 299,416/x
  3. Step 3: Cross multiply
    198,418x = 299,416 × 299,416
  4. Step 4: Simplify right side
    198,418x = 89,649,941,056
  5. Step 5: Solve for x
    x = 89,649,941,056/198,418
  6. Step 6: Final answer
    x = 451,823.63

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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.