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Finding the Third Proportional to 36,867 and 78,989

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Solution

The third proportional to 36,867 and 78,989 is: 169,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867 : 78,989 = 78,989 : x
  2. Step 2: Convert to fraction form
    36,867/78,989 = 78,989/x
  3. Step 3: Cross multiply
    36,867x = 78,989 × 78,989
  4. Step 4: Simplify right side
    36,867x = 6,239,262,121
  5. Step 5: Solve for x
    x = 6,239,262,121/36,867
  6. Step 6: Final answer
    x = 169,237.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.