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Finding the Third Proportional to 154,491.75 and 206,921.25

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Solution

The third proportional to 154,491.75 and 206,921.25 is: 277,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,491.75 : 206,921.25 = 206,921.25 : x
  2. Step 2: Convert to fraction form
    154,491.75/206,921.25 = 206,921.25/x
  3. Step 3: Cross multiply
    154,491.75x = 206,921.25 × 206,921.25
  4. Step 4: Simplify right side
    154,491.75x = 42,816,403,701.56
  5. Step 5: Solve for x
    x = 42,816,403,701.56/154,491.75
  6. Step 6: Final answer
    x = 277,143.63

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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.