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Finding the Third Proportional to 154,490.25 and 206,919.38

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Solution

The third proportional to 154,490.25 and 206,919.38 is: 277,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,490.25 : 206,919.38 = 206,919.38 : x
  2. Step 2: Convert to fraction form
    154,490.25/206,919.38 = 206,919.38/x
  3. Step 3: Cross multiply
    154,490.25x = 206,919.38 × 206,919.38
  4. Step 4: Simplify right side
    154,490.25x = 42,815,627,750.39
  5. Step 5: Solve for x
    x = 42,815,627,750.39/154,490.25
  6. Step 6: Final answer
    x = 277,141.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.