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Finding the Third Proportional to 36,899 and 78,928

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Solution

The third proportional to 36,899 and 78,928 is: 168,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,899 : 78,928 = 78,928 : x
  2. Step 2: Convert to fraction form
    36,899/78,928 = 78,928/x
  3. Step 3: Cross multiply
    36,899x = 78,928 × 78,928
  4. Step 4: Simplify right side
    36,899x = 6,229,629,184
  5. Step 5: Solve for x
    x = 6,229,629,184/36,899
  6. Step 6: Final answer
    x = 168,829.21

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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.