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Finding the Third Proportional to 40,518 and 84,285

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Solution

The third proportional to 40,518 and 84,285 is: 175,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,518 : 84,285 = 84,285 : x
  2. Step 2: Convert to fraction form
    40,518/84,285 = 84,285/x
  3. Step 3: Cross multiply
    40,518x = 84,285 × 84,285
  4. Step 4: Simplify right side
    40,518x = 7,103,961,225
  5. Step 5: Solve for x
    x = 7,103,961,225/40,518
  6. Step 6: Final answer
    x = 175,328.53

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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.