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Finding the Third Proportional to 103,031 and 217,286

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Solution

The third proportional to 103,031 and 217,286 is: 458,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,031 : 217,286 = 217,286 : x
  2. Step 2: Convert to fraction form
    103,031/217,286 = 217,286/x
  3. Step 3: Cross multiply
    103,031x = 217,286 × 217,286
  4. Step 4: Simplify right side
    103,031x = 47,213,205,796
  5. Step 5: Solve for x
    x = 47,213,205,796/103,031
  6. Step 6: Final answer
    x = 458,242.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.