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Finding the Third Proportional to 143,829 and 223,317

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Solution

The third proportional to 143,829 and 223,317 is: 346,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,829 : 223,317 = 223,317 : x
  2. Step 2: Convert to fraction form
    143,829/223,317 = 223,317/x
  3. Step 3: Cross multiply
    143,829x = 223,317 × 223,317
  4. Step 4: Simplify right side
    143,829x = 49,870,482,489
  5. Step 5: Solve for x
    x = 49,870,482,489/143,829
  6. Step 6: Final answer
    x = 346,734.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.