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Finding the Third Proportional to 103,086 and 217,236

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Solution

The third proportional to 103,086 and 217,236 is: 457,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,086 : 217,236 = 217,236 : x
  2. Step 2: Convert to fraction form
    103,086/217,236 = 217,236/x
  3. Step 3: Cross multiply
    103,086x = 217,236 × 217,236
  4. Step 4: Simplify right side
    103,086x = 47,191,479,696
  5. Step 5: Solve for x
    x = 47,191,479,696/103,086
  6. Step 6: Final answer
    x = 457,787.48

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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.