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Finding the Third Proportional to 80,813 and 121,330

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Solution

The third proportional to 80,813 and 121,330 is: 182,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,813 : 121,330 = 121,330 : x
  2. Step 2: Convert to fraction form
    80,813/121,330 = 121,330/x
  3. Step 3: Cross multiply
    80,813x = 121,330 × 121,330
  4. Step 4: Simplify right side
    80,813x = 14,720,968,900
  5. Step 5: Solve for x
    x = 14,720,968,900/80,813
  6. Step 6: Final answer
    x = 182,160.90

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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.