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Finding the Third Proportional to 51,607 and 79,759

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Solution

The third proportional to 51,607 and 79,759 is: 123,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,607 : 79,759 = 79,759 : x
  2. Step 2: Convert to fraction form
    51,607/79,759 = 79,759/x
  3. Step 3: Cross multiply
    51,607x = 79,759 × 79,759
  4. Step 4: Simplify right side
    51,607x = 6,361,498,081
  5. Step 5: Solve for x
    x = 6,361,498,081/51,607
  6. Step 6: Final answer
    x = 123,268.12

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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.