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Finding the Third Proportional to 86,337 and 187,080

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Solution

The third proportional to 86,337 and 187,080 is: 405,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,337 : 187,080 = 187,080 : x
  2. Step 2: Convert to fraction form
    86,337/187,080 = 187,080/x
  3. Step 3: Cross multiply
    86,337x = 187,080 × 187,080
  4. Step 4: Simplify right side
    86,337x = 34,998,926,400
  5. Step 5: Solve for x
    x = 34,998,926,400/86,337
  6. Step 6: Final answer
    x = 405,375.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.