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Finding the Third Proportional to 49,321 and 80,129

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Solution

The third proportional to 49,321 and 80,129 is: 130,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321 : 80,129 = 80,129 : x
  2. Step 2: Convert to fraction form
    49,321/80,129 = 80,129/x
  3. Step 3: Cross multiply
    49,321x = 80,129 × 80,129
  4. Step 4: Simplify right side
    49,321x = 6,420,656,641
  5. Step 5: Solve for x
    x = 6,420,656,641/49,321
  6. Step 6: Final answer
    x = 130,180.99

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.