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Finding the Third Proportional to 423,067 and 655,372

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Solution

The third proportional to 423,067 and 655,372 is: 1,015,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,067 : 655,372 = 655,372 : x
  2. Step 2: Convert to fraction form
    423,067/655,372 = 655,372/x
  3. Step 3: Cross multiply
    423,067x = 655,372 × 655,372
  4. Step 4: Simplify right side
    423,067x = 429,512,458,384
  5. Step 5: Solve for x
    x = 429,512,458,384/423,067
  6. Step 6: Final answer
    x = 1,015,235.08

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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.