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Finding the Third Proportional to 219,009 and 242,049

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Solution

The third proportional to 219,009 and 242,049 is: 267,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,009 : 242,049 = 242,049 : x
  2. Step 2: Convert to fraction form
    219,009/242,049 = 242,049/x
  3. Step 3: Cross multiply
    219,009x = 242,049 × 242,049
  4. Step 4: Simplify right side
    219,009x = 58,587,718,401
  5. Step 5: Solve for x
    x = 58,587,718,401/219,009
  6. Step 6: Final answer
    x = 267,512.83

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.