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Finding the Third Proportional to 103,690 and 217,823

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Solution

The third proportional to 103,690 and 217,823 is: 457,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 217,823 = 217,823 : x
  2. Step 2: Convert to fraction form
    103,690/217,823 = 217,823/x
  3. Step 3: Cross multiply
    103,690x = 217,823 × 217,823
  4. Step 4: Simplify right side
    103,690x = 47,446,859,329
  5. Step 5: Solve for x
    x = 47,446,859,329/103,690
  6. Step 6: Final answer
    x = 457,583.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.