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Finding the Third Proportional to 40,859 and 90,464

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Solution

The third proportional to 40,859 and 90,464 is: 200,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,859 : 90,464 = 90,464 : x
  2. Step 2: Convert to fraction form
    40,859/90,464 = 90,464/x
  3. Step 3: Cross multiply
    40,859x = 90,464 × 90,464
  4. Step 4: Simplify right side
    40,859x = 8,183,735,296
  5. Step 5: Solve for x
    x = 8,183,735,296/40,859
  6. Step 6: Final answer
    x = 200,292.11

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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.