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Finding the Third Proportional to 86,838 and 189,282

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Solution

The third proportional to 86,838 and 189,282 is: 412,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,838 : 189,282 = 189,282 : x
  2. Step 2: Convert to fraction form
    86,838/189,282 = 189,282/x
  3. Step 3: Cross multiply
    86,838x = 189,282 × 189,282
  4. Step 4: Simplify right side
    86,838x = 35,827,675,524
  5. Step 5: Solve for x
    x = 35,827,675,524/86,838
  6. Step 6: Final answer
    x = 412,580.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.