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Finding the Third Proportional to 154,938.75 and 239,414.43

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Solution

The third proportional to 154,938.75 and 239,414.43 is: 369,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,938.75 : 239,414.43 = 239,414.43 : x
  2. Step 2: Convert to fraction form
    154,938.75/239,414.43 = 239,414.43/x
  3. Step 3: Cross multiply
    154,938.75x = 239,414.43 × 239,414.43
  4. Step 4: Simplify right side
    154,938.75x = 57,319,269,288.72
  5. Step 5: Solve for x
    x = 57,319,269,288.72/154,938.75
  6. Step 6: Final answer
    x = 369,947.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.