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Finding the Third Proportional to 36,258 and 76,872

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Solution

The third proportional to 36,258 and 76,872 is: 162,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,258 : 76,872 = 76,872 : x
  2. Step 2: Convert to fraction form
    36,258/76,872 = 76,872/x
  3. Step 3: Cross multiply
    36,258x = 76,872 × 76,872
  4. Step 4: Simplify right side
    36,258x = 5,909,304,384
  5. Step 5: Solve for x
    x = 5,909,304,384/36,258
  6. Step 6: Final answer
    x = 162,979.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.