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Finding the Third Proportional to 101,817 and 219,307

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Solution

The third proportional to 101,817 and 219,307 is: 472,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817 : 219,307 = 219,307 : x
  2. Step 2: Convert to fraction form
    101,817/219,307 = 219,307/x
  3. Step 3: Cross multiply
    101,817x = 219,307 × 219,307
  4. Step 4: Simplify right side
    101,817x = 48,095,560,249
  5. Step 5: Solve for x
    x = 48,095,560,249/101,817
  6. Step 6: Final answer
    x = 472,372.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.