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Finding the Third Proportional to 40,518 and 84,258

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Solution

The third proportional to 40,518 and 84,258 is: 175,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,518 : 84,258 = 84,258 : x
  2. Step 2: Convert to fraction form
    40,518/84,258 = 84,258/x
  3. Step 3: Cross multiply
    40,518x = 84,258 × 84,258
  4. Step 4: Simplify right side
    40,518x = 7,099,410,564
  5. Step 5: Solve for x
    x = 7,099,410,564/40,518
  6. Step 6: Final answer
    x = 175,216.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.