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Finding the Third Proportional to 49,456 and 78,629

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Solution

The third proportional to 49,456 and 78,629 is: 125,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456 : 78,629 = 78,629 : x
  2. Step 2: Convert to fraction form
    49,456/78,629 = 78,629/x
  3. Step 3: Cross multiply
    49,456x = 78,629 × 78,629
  4. Step 4: Simplify right side
    49,456x = 6,182,519,641
  5. Step 5: Solve for x
    x = 6,182,519,641/49,456
  6. Step 6: Final answer
    x = 125,010.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.