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Finding the Third Proportional to 135,362 and 198,422

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Solution

The third proportional to 135,362 and 198,422 is: 290,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,362 : 198,422 = 198,422 : x
  2. Step 2: Convert to fraction form
    135,362/198,422 = 198,422/x
  3. Step 3: Cross multiply
    135,362x = 198,422 × 198,422
  4. Step 4: Simplify right side
    135,362x = 39,371,290,084
  5. Step 5: Solve for x
    x = 39,371,290,084/135,362
  6. Step 6: Final answer
    x = 290,859.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.