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Finding the Third Proportional to 198,930 and 298,548

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Solution

The third proportional to 198,930 and 298,548 is: 448,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,930 : 298,548 = 298,548 : x
  2. Step 2: Convert to fraction form
    198,930/298,548 = 298,548/x
  3. Step 3: Cross multiply
    198,930x = 298,548 × 298,548
  4. Step 4: Simplify right side
    198,930x = 89,130,908,304
  5. Step 5: Solve for x
    x = 89,130,908,304/198,930
  6. Step 6: Final answer
    x = 448,051.62

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