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Finding the Third Proportional to 207,639 and 326,215

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Solution

The third proportional to 207,639 and 326,215 is: 512,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,639 : 326,215 = 326,215 : x
  2. Step 2: Convert to fraction form
    207,639/326,215 = 326,215/x
  3. Step 3: Cross multiply
    207,639x = 326,215 × 326,215
  4. Step 4: Simplify right side
    207,639x = 106,416,226,225
  5. Step 5: Solve for x
    x = 106,416,226,225/207,639
  6. Step 6: Final answer
    x = 512,505.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.