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Finding the Third Proportional to 51,100 and 79,758

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Solution

The third proportional to 51,100 and 79,758 is: 124,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,100 : 79,758 = 79,758 : x
  2. Step 2: Convert to fraction form
    51,100/79,758 = 79,758/x
  3. Step 3: Cross multiply
    51,100x = 79,758 × 79,758
  4. Step 4: Simplify right side
    51,100x = 6,361,338,564
  5. Step 5: Solve for x
    x = 6,361,338,564/51,100
  6. Step 6: Final answer
    x = 124,488.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.