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Finding the Third Proportional to 18,657 and 40,322

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Solution

The third proportional to 18,657 and 40,322 is: 87,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 40,322 = 40,322 : x
  2. Step 2: Convert to fraction form
    18,657/40,322 = 40,322/x
  3. Step 3: Cross multiply
    18,657x = 40,322 × 40,322
  4. Step 4: Simplify right side
    18,657x = 1,625,863,684
  5. Step 5: Solve for x
    x = 1,625,863,684/18,657
  6. Step 6: Final answer
    x = 87,144.97

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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.