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Finding the Third Proportional to 40,442 and 66,818

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Solution

The third proportional to 40,442 and 66,818 is: 110,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,442 : 66,818 = 66,818 : x
  2. Step 2: Convert to fraction form
    40,442/66,818 = 66,818/x
  3. Step 3: Cross multiply
    40,442x = 66,818 × 66,818
  4. Step 4: Simplify right side
    40,442x = 4,464,645,124
  5. Step 5: Solve for x
    x = 4,464,645,124/40,442
  6. Step 6: Final answer
    x = 110,396.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.