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Finding the Third Proportional to 133,920 and 196,506

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Solution

The third proportional to 133,920 and 196,506 is: 288,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 196,506 = 196,506 : x
  2. Step 2: Convert to fraction form
    133,920/196,506 = 196,506/x
  3. Step 3: Cross multiply
    133,920x = 196,506 × 196,506
  4. Step 4: Simplify right side
    133,920x = 38,614,608,036
  5. Step 5: Solve for x
    x = 38,614,608,036/133,920
  6. Step 6: Final answer
    x = 288,340.86

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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.