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Finding the Third Proportional to 86,710 and 186,356

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Solution

The third proportional to 86,710 and 186,356 is: 400,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,710 : 186,356 = 186,356 : x
  2. Step 2: Convert to fraction form
    86,710/186,356 = 186,356/x
  3. Step 3: Cross multiply
    86,710x = 186,356 × 186,356
  4. Step 4: Simplify right side
    86,710x = 34,728,558,736
  5. Step 5: Solve for x
    x = 34,728,558,736/86,710
  6. Step 6: Final answer
    x = 400,513.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.