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Finding the Third Proportional to 103,738 and 221,684

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Solution

The third proportional to 103,738 and 221,684 is: 473,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,738 : 221,684 = 221,684 : x
  2. Step 2: Convert to fraction form
    103,738/221,684 = 221,684/x
  3. Step 3: Cross multiply
    103,738x = 221,684 × 221,684
  4. Step 4: Simplify right side
    103,738x = 49,143,795,856
  5. Step 5: Solve for x
    x = 49,143,795,856/103,738
  6. Step 6: Final answer
    x = 473,729.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.