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Finding the Third Proportional to 86,494 and 186,320

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Solution

The third proportional to 86,494 and 186,320 is: 401,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,494 : 186,320 = 186,320 : x
  2. Step 2: Convert to fraction form
    86,494/186,320 = 186,320/x
  3. Step 3: Cross multiply
    86,494x = 186,320 × 186,320
  4. Step 4: Simplify right side
    86,494x = 34,715,142,400
  5. Step 5: Solve for x
    x = 34,715,142,400/86,494
  6. Step 6: Final answer
    x = 401,358.97

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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.