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Finding the Third Proportional to 36,319 and 81,143

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Solution

The third proportional to 36,319 and 81,143 is: 181,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,319 : 81,143 = 81,143 : x
  2. Step 2: Convert to fraction form
    36,319/81,143 = 81,143/x
  3. Step 3: Cross multiply
    36,319x = 81,143 × 81,143
  4. Step 4: Simplify right side
    36,319x = 6,584,186,449
  5. Step 5: Solve for x
    x = 6,584,186,449/36,319
  6. Step 6: Final answer
    x = 181,287.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.