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Finding the Third Proportional to 51,996 and 80,660

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Solution

The third proportional to 51,996 and 80,660 is: 125,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996 : 80,660 = 80,660 : x
  2. Step 2: Convert to fraction form
    51,996/80,660 = 80,660/x
  3. Step 3: Cross multiply
    51,996x = 80,660 × 80,660
  4. Step 4: Simplify right side
    51,996x = 6,506,035,600
  5. Step 5: Solve for x
    x = 6,506,035,600/51,996
  6. Step 6: Final answer
    x = 125,125.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.