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Finding the Third Proportional to 290,614 and 444,374

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Solution

The third proportional to 290,614 and 444,374 is: 679,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,614 : 444,374 = 444,374 : x
  2. Step 2: Convert to fraction form
    290,614/444,374 = 444,374/x
  3. Step 3: Cross multiply
    290,614x = 444,374 × 444,374
  4. Step 4: Simplify right side
    290,614x = 197,468,251,876
  5. Step 5: Solve for x
    x = 197,468,251,876/290,614
  6. Step 6: Final answer
    x = 679,486.37

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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.