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Finding the Third Proportional to 103,266 and 218,917

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Solution

The third proportional to 103,266 and 218,917 is: 464,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,266 : 218,917 = 218,917 : x
  2. Step 2: Convert to fraction form
    103,266/218,917 = 218,917/x
  3. Step 3: Cross multiply
    103,266x = 218,917 × 218,917
  4. Step 4: Simplify right side
    103,266x = 47,924,652,889
  5. Step 5: Solve for x
    x = 47,924,652,889/103,266
  6. Step 6: Final answer
    x = 464,089.37

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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.