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Finding the Third Proportional to 207,775 and 322,355

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Solution

The third proportional to 207,775 and 322,355 is: 500,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,775 : 322,355 = 322,355 : x
  2. Step 2: Convert to fraction form
    207,775/322,355 = 322,355/x
  3. Step 3: Cross multiply
    207,775x = 322,355 × 322,355
  4. Step 4: Simplify right side
    207,775x = 103,912,746,025
  5. Step 5: Solve for x
    x = 103,912,746,025/207,775
  6. Step 6: Final answer
    x = 500,121.51

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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.