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Finding the Third Proportional to 108,823.50 and 154,122.75

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Solution

The third proportional to 108,823.50 and 154,122.75 is: 218,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,823.50 : 154,122.75 = 154,122.75 : x
  2. Step 2: Convert to fraction form
    108,823.50/154,122.75 = 154,122.75/x
  3. Step 3: Cross multiply
    108,823.50x = 154,122.75 × 154,122.75
  4. Step 4: Simplify right side
    108,823.50x = 23,753,822,067.56
  5. Step 5: Solve for x
    x = 23,753,822,067.56/108,823.50
  6. Step 6: Final answer
    x = 218,278.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.