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Finding the Third Proportional to 51,609 and 79,762

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Solution

The third proportional to 51,609 and 79,762 is: 123,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,609 : 79,762 = 79,762 : x
  2. Step 2: Convert to fraction form
    51,609/79,762 = 79,762/x
  3. Step 3: Cross multiply
    51,609x = 79,762 × 79,762
  4. Step 4: Simplify right side
    51,609x = 6,361,976,644
  5. Step 5: Solve for x
    x = 6,361,976,644/51,609
  6. Step 6: Final answer
    x = 123,272.62

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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.