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Finding the Third Proportional to 135,650 and 198,291

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Solution

The third proportional to 135,650 and 198,291 is: 289,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,650 : 198,291 = 198,291 : x
  2. Step 2: Convert to fraction form
    135,650/198,291 = 198,291/x
  3. Step 3: Cross multiply
    135,650x = 198,291 × 198,291
  4. Step 4: Simplify right side
    135,650x = 39,319,320,681
  5. Step 5: Solve for x
    x = 39,319,320,681/135,650
  6. Step 6: Final answer
    x = 289,858.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.