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Finding the Third Proportional to 198,648 and 298,413

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Solution

The third proportional to 198,648 and 298,413 is: 448,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,648 : 298,413 = 298,413 : x
  2. Step 2: Convert to fraction form
    198,648/298,413 = 298,413/x
  3. Step 3: Cross multiply
    198,648x = 298,413 × 298,413
  4. Step 4: Simplify right side
    198,648x = 89,050,318,569
  5. Step 5: Solve for x
    x = 89,050,318,569/198,648
  6. Step 6: Final answer
    x = 448,281.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.