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Finding the Third Proportional to 19,158 and 28,759

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Solution

The third proportional to 19,158 and 28,759 is: 43,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,158 : 28,759 = 28,759 : x
  2. Step 2: Convert to fraction form
    19,158/28,759 = 28,759/x
  3. Step 3: Cross multiply
    19,158x = 28,759 × 28,759
  4. Step 4: Simplify right side
    19,158x = 827,080,081
  5. Step 5: Solve for x
    x = 827,080,081/19,158
  6. Step 6: Final answer
    x = 43,171.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.