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Finding the Third Proportional to 103,690 and 223,317

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Solution

The third proportional to 103,690 and 223,317 is: 480,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 223,317 = 223,317 : x
  2. Step 2: Convert to fraction form
    103,690/223,317 = 223,317/x
  3. Step 3: Cross multiply
    103,690x = 223,317 × 223,317
  4. Step 4: Simplify right side
    103,690x = 49,870,482,489
  5. Step 5: Solve for x
    x = 49,870,482,489/103,690
  6. Step 6: Final answer
    x = 480,957.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.