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Finding the Third Proportional to 36,182 and 77,920

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Solution

The third proportional to 36,182 and 77,920 is: 167,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182 : 77,920 = 77,920 : x
  2. Step 2: Convert to fraction form
    36,182/77,920 = 77,920/x
  3. Step 3: Cross multiply
    36,182x = 77,920 × 77,920
  4. Step 4: Simplify right side
    36,182x = 6,071,526,400
  5. Step 5: Solve for x
    x = 6,071,526,400/36,182
  6. Step 6: Final answer
    x = 167,805.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.