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Finding the Third Proportional to 385,067 and 577,601

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Solution

The third proportional to 385,067 and 577,601 is: 866,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,067 : 577,601 = 577,601 : x
  2. Step 2: Convert to fraction form
    385,067/577,601 = 577,601/x
  3. Step 3: Cross multiply
    385,067x = 577,601 × 577,601
  4. Step 4: Simplify right side
    385,067x = 333,622,915,201
  5. Step 5: Solve for x
    x = 333,622,915,201/385,067
  6. Step 6: Final answer
    x = 866,402.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.