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Finding the Third Proportional to 49,878 and 83,121

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Solution

The third proportional to 49,878 and 83,121 is: 138,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878 : 83,121 = 83,121 : x
  2. Step 2: Convert to fraction form
    49,878/83,121 = 83,121/x
  3. Step 3: Cross multiply
    49,878x = 83,121 × 83,121
  4. Step 4: Simplify right side
    49,878x = 6,909,100,641
  5. Step 5: Solve for x
    x = 6,909,100,641/49,878
  6. Step 6: Final answer
    x = 138,520.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.