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Finding the Third Proportional to 86,364 and 187,481.25

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Solution

The third proportional to 86,364 and 187,481.25 is: 406,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,364 : 187,481.25 = 187,481.25 : x
  2. Step 2: Convert to fraction form
    86,364/187,481.25 = 187,481.25/x
  3. Step 3: Cross multiply
    86,364x = 187,481.25 × 187,481.25
  4. Step 4: Simplify right side
    86,364x = 35,149,219,101.56
  5. Step 5: Solve for x
    x = 35,149,219,101.56/86,364
  6. Step 6: Final answer
    x = 406,989.24

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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.