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Finding the Third Proportional to 18,787 and 40,240

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Solution

The third proportional to 18,787 and 40,240 is: 86,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,787 : 40,240 = 40,240 : x
  2. Step 2: Convert to fraction form
    18,787/40,240 = 40,240/x
  3. Step 3: Cross multiply
    18,787x = 40,240 × 40,240
  4. Step 4: Simplify right side
    18,787x = 1,619,257,600
  5. Step 5: Solve for x
    x = 1,619,257,600/18,787
  6. Step 6: Final answer
    x = 86,190.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.