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Finding the Third Proportional to 86,272 and 189,888

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Solution

The third proportional to 86,272 and 189,888 is: 417,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,272 : 189,888 = 189,888 : x
  2. Step 2: Convert to fraction form
    86,272/189,888 = 189,888/x
  3. Step 3: Cross multiply
    86,272x = 189,888 × 189,888
  4. Step 4: Simplify right side
    86,272x = 36,057,452,544
  5. Step 5: Solve for x
    x = 36,057,452,544/86,272
  6. Step 6: Final answer
    x = 417,950.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.