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Finding the Third Proportional to 76,048 and 177,680

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Solution

The third proportional to 76,048 and 177,680 is: 415,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048 : 177,680 = 177,680 : x
  2. Step 2: Convert to fraction form
    76,048/177,680 = 177,680/x
  3. Step 3: Cross multiply
    76,048x = 177,680 × 177,680
  4. Step 4: Simplify right side
    76,048x = 31,570,182,400
  5. Step 5: Solve for x
    x = 31,570,182,400/76,048
  6. Step 6: Final answer
    x = 415,134.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.