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Finding the Third Proportional to 290,277 and 439,794

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Solution

The third proportional to 290,277 and 439,794 is: 666,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,277 : 439,794 = 439,794 : x
  2. Step 2: Convert to fraction form
    290,277/439,794 = 439,794/x
  3. Step 3: Cross multiply
    290,277x = 439,794 × 439,794
  4. Step 4: Simplify right side
    290,277x = 193,418,762,436
  5. Step 5: Solve for x
    x = 193,418,762,436/290,277
  6. Step 6: Final answer
    x = 666,324.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.