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Finding the Third Proportional to 86,340 and 187,086

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Solution

The third proportional to 86,340 and 187,086 is: 405,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,340 : 187,086 = 187,086 : x
  2. Step 2: Convert to fraction form
    86,340/187,086 = 187,086/x
  3. Step 3: Cross multiply
    86,340x = 187,086 × 187,086
  4. Step 4: Simplify right side
    86,340x = 35,001,171,396
  5. Step 5: Solve for x
    x = 35,001,171,396/86,340
  6. Step 6: Final answer
    x = 405,387.67

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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.