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Finding the Third Proportional to 36,986 and 77,860

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Solution

The third proportional to 36,986 and 77,860 is: 163,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,986 : 77,860 = 77,860 : x
  2. Step 2: Convert to fraction form
    36,986/77,860 = 77,860/x
  3. Step 3: Cross multiply
    36,986x = 77,860 × 77,860
  4. Step 4: Simplify right side
    36,986x = 6,062,179,600
  5. Step 5: Solve for x
    x = 6,062,179,600/36,986
  6. Step 6: Final answer
    x = 163,904.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.