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Finding the Third Proportional to 86,237 and 187,661

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Solution

The third proportional to 86,237 and 187,661 is: 408,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,237 : 187,661 = 187,661 : x
  2. Step 2: Convert to fraction form
    86,237/187,661 = 187,661/x
  3. Step 3: Cross multiply
    86,237x = 187,661 × 187,661
  4. Step 4: Simplify right side
    86,237x = 35,216,650,921
  5. Step 5: Solve for x
    x = 35,216,650,921/86,237
  6. Step 6: Final answer
    x = 408,370.55

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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.