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Finding the Third Proportional to 207,949 and 314,859

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Solution

The third proportional to 207,949 and 314,859 is: 476,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,949 : 314,859 = 314,859 : x
  2. Step 2: Convert to fraction form
    207,949/314,859 = 314,859/x
  3. Step 3: Cross multiply
    207,949x = 314,859 × 314,859
  4. Step 4: Simplify right side
    207,949x = 99,136,189,881
  5. Step 5: Solve for x
    x = 99,136,189,881/207,949
  6. Step 6: Final answer
    x = 476,733.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.