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Finding the Third Proportional to 51,952 and 80,412

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Solution

The third proportional to 51,952 and 80,412 is: 124,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 80,412 = 80,412 : x
  2. Step 2: Convert to fraction form
    51,952/80,412 = 80,412/x
  3. Step 3: Cross multiply
    51,952x = 80,412 × 80,412
  4. Step 4: Simplify right side
    51,952x = 6,466,089,744
  5. Step 5: Solve for x
    x = 6,466,089,744/51,952
  6. Step 6: Final answer
    x = 124,462.77

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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.