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Finding the Third Proportional to 254,839 and 404,859

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Solution

The third proportional to 254,839 and 404,859 is: 643,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,839 : 404,859 = 404,859 : x
  2. Step 2: Convert to fraction form
    254,839/404,859 = 404,859/x
  3. Step 3: Cross multiply
    254,839x = 404,859 × 404,859
  4. Step 4: Simplify right side
    254,839x = 163,910,809,881
  5. Step 5: Solve for x
    x = 163,910,809,881/254,839
  6. Step 6: Final answer
    x = 643,193.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.