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Finding the Third Proportional to 198,412 and 299,407

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Solution

The third proportional to 198,412 and 299,407 is: 451,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,412 : 299,407 = 299,407 : x
  2. Step 2: Convert to fraction form
    198,412/299,407 = 299,407/x
  3. Step 3: Cross multiply
    198,412x = 299,407 × 299,407
  4. Step 4: Simplify right side
    198,412x = 89,644,551,649
  5. Step 5: Solve for x
    x = 89,644,551,649/198,412
  6. Step 6: Final answer
    x = 451,810.13

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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.