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Finding the Third Proportional to 51,657 and 79,821

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Solution

The third proportional to 51,657 and 79,821 is: 123,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,657 : 79,821 = 79,821 : x
  2. Step 2: Convert to fraction form
    51,657/79,821 = 79,821/x
  3. Step 3: Cross multiply
    51,657x = 79,821 × 79,821
  4. Step 4: Simplify right side
    51,657x = 6,371,392,041
  5. Step 5: Solve for x
    x = 6,371,392,041/51,657
  6. Step 6: Final answer
    x = 123,340.34

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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.