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Finding the Third Proportional to 145,193 and 217,790

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Solution

The third proportional to 145,193 and 217,790 is: 326,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193 : 217,790 = 217,790 : x
  2. Step 2: Convert to fraction form
    145,193/217,790 = 217,790/x
  3. Step 3: Cross multiply
    145,193x = 217,790 × 217,790
  4. Step 4: Simplify right side
    145,193x = 47,432,484,100
  5. Step 5: Solve for x
    x = 47,432,484,100/145,193
  6. Step 6: Final answer
    x = 326,685.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.