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Finding the Third Proportional to 40,236 and 86,518

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Solution

The third proportional to 40,236 and 86,518 is: 186,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,236 : 86,518 = 86,518 : x
  2. Step 2: Convert to fraction form
    40,236/86,518 = 86,518/x
  3. Step 3: Cross multiply
    40,236x = 86,518 × 86,518
  4. Step 4: Simplify right side
    40,236x = 7,485,364,324
  5. Step 5: Solve for x
    x = 7,485,364,324/40,236
  6. Step 6: Final answer
    x = 186,036.49

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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.