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Finding the Third Proportional to 135,359 and 198,420

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Solution

The third proportional to 135,359 and 198,420 is: 290,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,359 : 198,420 = 198,420 : x
  2. Step 2: Convert to fraction form
    135,359/198,420 = 198,420/x
  3. Step 3: Cross multiply
    135,359x = 198,420 × 198,420
  4. Step 4: Simplify right side
    135,359x = 39,370,496,400
  5. Step 5: Solve for x
    x = 39,370,496,400/135,359
  6. Step 6: Final answer
    x = 290,859.83

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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.