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Finding the Third Proportional to 122,940 and 177,678

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Solution

The third proportional to 122,940 and 177,678 is: 256,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940 : 177,678 = 177,678 : x
  2. Step 2: Convert to fraction form
    122,940/177,678 = 177,678/x
  3. Step 3: Cross multiply
    122,940x = 177,678 × 177,678
  4. Step 4: Simplify right side
    122,940x = 31,569,471,684
  5. Step 5: Solve for x
    x = 31,569,471,684/122,940
  6. Step 6: Final answer
    x = 256,787.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.