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Finding the Third Proportional to 198,707 and 298,875

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Solution

The third proportional to 198,707 and 298,875 is: 449,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,707 : 298,875 = 298,875 : x
  2. Step 2: Convert to fraction form
    198,707/298,875 = 298,875/x
  3. Step 3: Cross multiply
    198,707x = 298,875 × 298,875
  4. Step 4: Simplify right side
    198,707x = 89,326,265,625
  5. Step 5: Solve for x
    x = 89,326,265,625/198,707
  6. Step 6: Final answer
    x = 449,537.59

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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.