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Finding the Third Proportional to 40,890 and 90,515

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Solution

The third proportional to 40,890 and 90,515 is: 200,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890 : 90,515 = 90,515 : x
  2. Step 2: Convert to fraction form
    40,890/90,515 = 90,515/x
  3. Step 3: Cross multiply
    40,890x = 90,515 × 90,515
  4. Step 4: Simplify right side
    40,890x = 8,192,965,225
  5. Step 5: Solve for x
    x = 8,192,965,225/40,890
  6. Step 6: Final answer
    x = 200,365.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.