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Finding the Third Proportional to 18,738 and 40,602

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Solution

The third proportional to 18,738 and 40,602 is: 87,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 40,602 = 40,602 : x
  2. Step 2: Convert to fraction form
    18,738/40,602 = 40,602/x
  3. Step 3: Cross multiply
    18,738x = 40,602 × 40,602
  4. Step 4: Simplify right side
    18,738x = 1,648,522,404
  5. Step 5: Solve for x
    x = 1,648,522,404/18,738
  6. Step 6: Final answer
    x = 87,977.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.