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Finding the Third Proportional to 198,081 and 298,070

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Solution

The third proportional to 198,081 and 298,070 is: 448,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,081 : 298,070 = 298,070 : x
  2. Step 2: Convert to fraction form
    198,081/298,070 = 298,070/x
  3. Step 3: Cross multiply
    198,081x = 298,070 × 298,070
  4. Step 4: Simplify right side
    198,081x = 88,845,724,900
  5. Step 5: Solve for x
    x = 88,845,724,900/198,081
  6. Step 6: Final answer
    x = 448,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.