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Finding the Third Proportional to 51,074 and 82,011

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Solution

The third proportional to 51,074 and 82,011 is: 131,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074 : 82,011 = 82,011 : x
  2. Step 2: Convert to fraction form
    51,074/82,011 = 82,011/x
  3. Step 3: Cross multiply
    51,074x = 82,011 × 82,011
  4. Step 4: Simplify right side
    51,074x = 6,725,804,121
  5. Step 5: Solve for x
    x = 6,725,804,121/51,074
  6. Step 6: Final answer
    x = 131,687.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.