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Finding the Third Proportional to 198,413 and 299,409

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Solution

The third proportional to 198,413 and 299,409 is: 451,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,413 : 299,409 = 299,409 : x
  2. Step 2: Convert to fraction form
    198,413/299,409 = 299,409/x
  3. Step 3: Cross multiply
    198,413x = 299,409 × 299,409
  4. Step 4: Simplify right side
    198,413x = 89,645,749,281
  5. Step 5: Solve for x
    x = 89,645,749,281/198,413
  6. Step 6: Final answer
    x = 451,813.89

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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.