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Finding the Third Proportional to 198,390 and 306,519

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Solution

The third proportional to 198,390 and 306,519 is: 473,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,390 : 306,519 = 306,519 : x
  2. Step 2: Convert to fraction form
    198,390/306,519 = 306,519/x
  3. Step 3: Cross multiply
    198,390x = 306,519 × 306,519
  4. Step 4: Simplify right side
    198,390x = 93,953,897,361
  5. Step 5: Solve for x
    x = 93,953,897,361/198,390
  6. Step 6: Final answer
    x = 473,581.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.