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Finding the Third Proportional to 86,481 and 189,364

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Solution

The third proportional to 86,481 and 189,364 is: 414,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,481 : 189,364 = 189,364 : x
  2. Step 2: Convert to fraction form
    86,481/189,364 = 189,364/x
  3. Step 3: Cross multiply
    86,481x = 189,364 × 189,364
  4. Step 4: Simplify right side
    86,481x = 35,858,724,496
  5. Step 5: Solve for x
    x = 35,858,724,496/86,481
  6. Step 6: Final answer
    x = 414,642.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.