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Finding the Third Proportional to 40,396 and 82,803

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Solution

The third proportional to 40,396 and 82,803 is: 169,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,396 : 82,803 = 82,803 : x
  2. Step 2: Convert to fraction form
    40,396/82,803 = 82,803/x
  3. Step 3: Cross multiply
    40,396x = 82,803 × 82,803
  4. Step 4: Simplify right side
    40,396x = 6,856,336,809
  5. Step 5: Solve for x
    x = 6,856,336,809/40,396
  6. Step 6: Final answer
    x = 169,728.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.