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Finding the Third Proportional to 51,092 and 78,474

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Solution

The third proportional to 51,092 and 78,474 is: 120,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,092 : 78,474 = 78,474 : x
  2. Step 2: Convert to fraction form
    51,092/78,474 = 78,474/x
  3. Step 3: Cross multiply
    51,092x = 78,474 × 78,474
  4. Step 4: Simplify right side
    51,092x = 6,158,168,676
  5. Step 5: Solve for x
    x = 6,158,168,676/51,092
  6. Step 6: Final answer
    x = 120,530.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.