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Finding the Third Proportional to 36,758 and 79,739

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Solution

The third proportional to 36,758 and 79,739 is: 172,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,758 : 79,739 = 79,739 : x
  2. Step 2: Convert to fraction form
    36,758/79,739 = 79,739/x
  3. Step 3: Cross multiply
    36,758x = 79,739 × 79,739
  4. Step 4: Simplify right side
    36,758x = 6,358,308,121
  5. Step 5: Solve for x
    x = 6,358,308,121/36,758
  6. Step 6: Final answer
    x = 172,977.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.