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Finding the Third Proportional to 104,082 and 225,534

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Solution

The third proportional to 104,082 and 225,534 is: 488,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082 : 225,534 = 225,534 : x
  2. Step 2: Convert to fraction form
    104,082/225,534 = 225,534/x
  3. Step 3: Cross multiply
    104,082x = 225,534 × 225,534
  4. Step 4: Simplify right side
    104,082x = 50,865,585,156
  5. Step 5: Solve for x
    x = 50,865,585,156/104,082
  6. Step 6: Final answer
    x = 488,706.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.