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Finding the Third Proportional to 198,008 and 306,754

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Solution

The third proportional to 198,008 and 306,754 is: 475,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,008 : 306,754 = 306,754 : x
  2. Step 2: Convert to fraction form
    198,008/306,754 = 306,754/x
  3. Step 3: Cross multiply
    198,008x = 306,754 × 306,754
  4. Step 4: Simplify right side
    198,008x = 94,098,016,516
  5. Step 5: Solve for x
    x = 94,098,016,516/198,008
  6. Step 6: Final answer
    x = 475,223.31

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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.