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Finding the Third Proportional to 51,912 and 80,550

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Solution

The third proportional to 51,912 and 80,550 is: 124,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 80,550 = 80,550 : x
  2. Step 2: Convert to fraction form
    51,912/80,550 = 80,550/x
  3. Step 3: Cross multiply
    51,912x = 80,550 × 80,550
  4. Step 4: Simplify right side
    51,912x = 6,488,302,500
  5. Step 5: Solve for x
    x = 6,488,302,500/51,912
  6. Step 6: Final answer
    x = 124,986.56

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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.