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Finding the Third Proportional to 254,844 and 404,867

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Solution

The third proportional to 254,844 and 404,867 is: 643,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,844 : 404,867 = 404,867 : x
  2. Step 2: Convert to fraction form
    254,844/404,867 = 404,867/x
  3. Step 3: Cross multiply
    254,844x = 404,867 × 404,867
  4. Step 4: Simplify right side
    254,844x = 163,917,287,689
  5. Step 5: Solve for x
    x = 163,917,287,689/254,844
  6. Step 6: Final answer
    x = 643,206.38

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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.