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Finding the Third Proportional to 198,342 and 306,261

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Solution

The third proportional to 198,342 and 306,261 is: 472,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,342 : 306,261 = 306,261 : x
  2. Step 2: Convert to fraction form
    198,342/306,261 = 306,261/x
  3. Step 3: Cross multiply
    198,342x = 306,261 × 306,261
  4. Step 4: Simplify right side
    198,342x = 93,795,800,121
  5. Step 5: Solve for x
    x = 93,795,800,121/198,342
  6. Step 6: Final answer
    x = 472,899.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.