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Finding the Third Proportional to 18,726 and 40,274

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Solution

The third proportional to 18,726 and 40,274 is: 86,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726 : 40,274 = 40,274 : x
  2. Step 2: Convert to fraction form
    18,726/40,274 = 40,274/x
  3. Step 3: Cross multiply
    18,726x = 40,274 × 40,274
  4. Step 4: Simplify right side
    18,726x = 1,621,995,076
  5. Step 5: Solve for x
    x = 1,621,995,076/18,726
  6. Step 6: Final answer
    x = 86,617.27

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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.