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Finding the Third Proportional to 104,040 and 224,496

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Solution

The third proportional to 104,040 and 224,496 is: 484,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,040 : 224,496 = 224,496 : x
  2. Step 2: Convert to fraction form
    104,040/224,496 = 224,496/x
  3. Step 3: Cross multiply
    104,040x = 224,496 × 224,496
  4. Step 4: Simplify right side
    104,040x = 50,398,454,016
  5. Step 5: Solve for x
    x = 50,398,454,016/104,040
  6. Step 6: Final answer
    x = 484,414.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.