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Finding the Third Proportional to 49,790 and 78,878

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Solution

The third proportional to 49,790 and 78,878 is: 124,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,790 : 78,878 = 78,878 : x
  2. Step 2: Convert to fraction form
    49,790/78,878 = 78,878/x
  3. Step 3: Cross multiply
    49,790x = 78,878 × 78,878
  4. Step 4: Simplify right side
    49,790x = 6,221,738,884
  5. Step 5: Solve for x
    x = 6,221,738,884/49,790
  6. Step 6: Final answer
    x = 124,959.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.