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Finding the Third Proportional to 198,156 and 306,957

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Solution

The third proportional to 198,156 and 306,957 is: 475,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,156 : 306,957 = 306,957 : x
  2. Step 2: Convert to fraction form
    198,156/306,957 = 306,957/x
  3. Step 3: Cross multiply
    198,156x = 306,957 × 306,957
  4. Step 4: Simplify right side
    198,156x = 94,222,599,849
  5. Step 5: Solve for x
    x = 94,222,599,849/198,156
  6. Step 6: Final answer
    x = 475,497.08

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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.