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Finding the Third Proportional to 290,488 and 444,092

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Solution

The third proportional to 290,488 and 444,092 is: 678,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,488 : 444,092 = 444,092 : x
  2. Step 2: Convert to fraction form
    290,488/444,092 = 444,092/x
  3. Step 3: Cross multiply
    290,488x = 444,092 × 444,092
  4. Step 4: Simplify right side
    290,488x = 197,217,704,464
  5. Step 5: Solve for x
    x = 197,217,704,464/290,488
  6. Step 6: Final answer
    x = 678,918.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.