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Finding the Third Proportional to 198,092 and 306,863

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Solution

The third proportional to 198,092 and 306,863 is: 475,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,092 : 306,863 = 306,863 : x
  2. Step 2: Convert to fraction form
    198,092/306,863 = 306,863/x
  3. Step 3: Cross multiply
    198,092x = 306,863 × 306,863
  4. Step 4: Simplify right side
    198,092x = 94,164,900,769
  5. Step 5: Solve for x
    x = 94,164,900,769/198,092
  6. Step 6: Final answer
    x = 475,359.43

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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.