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Finding the Third Proportional to 40,395 and 87,243

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Solution

The third proportional to 40,395 and 87,243 is: 188,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,395 : 87,243 = 87,243 : x
  2. Step 2: Convert to fraction form
    40,395/87,243 = 87,243/x
  3. Step 3: Cross multiply
    40,395x = 87,243 × 87,243
  4. Step 4: Simplify right side
    40,395x = 7,611,341,049
  5. Step 5: Solve for x
    x = 7,611,341,049/40,395
  6. Step 6: Final answer
    x = 188,422.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.