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Finding the Third Proportional to 103,286 and 218,973

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Solution

The third proportional to 103,286 and 218,973 is: 464,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,286 : 218,973 = 218,973 : x
  2. Step 2: Convert to fraction form
    103,286/218,973 = 218,973/x
  3. Step 3: Cross multiply
    103,286x = 218,973 × 218,973
  4. Step 4: Simplify right side
    103,286x = 47,949,174,729
  5. Step 5: Solve for x
    x = 47,949,174,729/103,286
  6. Step 6: Final answer
    x = 464,236.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.