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Finding the Third Proportional to 207,223 and 320,949

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Solution

The third proportional to 207,223 and 320,949 is: 497,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,223 : 320,949 = 320,949 : x
  2. Step 2: Convert to fraction form
    207,223/320,949 = 320,949/x
  3. Step 3: Cross multiply
    207,223x = 320,949 × 320,949
  4. Step 4: Simplify right side
    207,223x = 103,008,260,601
  5. Step 5: Solve for x
    x = 103,008,260,601/207,223
  6. Step 6: Final answer
    x = 497,088.94

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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.