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Finding the Third Proportional to 51,614 and 79,769

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Solution

The third proportional to 51,614 and 79,769 is: 123,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614 : 79,769 = 79,769 : x
  2. Step 2: Convert to fraction form
    51,614/79,769 = 79,769/x
  3. Step 3: Cross multiply
    51,614x = 79,769 × 79,769
  4. Step 4: Simplify right side
    51,614x = 6,363,093,361
  5. Step 5: Solve for x
    x = 6,363,093,361/51,614
  6. Step 6: Final answer
    x = 123,282.31

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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.