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Finding the Third Proportional to 101,009 and 219,703

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Solution

The third proportional to 101,009 and 219,703 is: 477,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,009 : 219,703 = 219,703 : x
  2. Step 2: Convert to fraction form
    101,009/219,703 = 219,703/x
  3. Step 3: Cross multiply
    101,009x = 219,703 × 219,703
  4. Step 4: Simplify right side
    101,009x = 48,269,408,209
  5. Step 5: Solve for x
    x = 48,269,408,209/101,009
  6. Step 6: Final answer
    x = 477,872.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.