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Finding the Third Proportional to 288,682 and 415,836

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Solution

The third proportional to 288,682 and 415,836 is: 598,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682 : 415,836 = 415,836 : x
  2. Step 2: Convert to fraction form
    288,682/415,836 = 415,836/x
  3. Step 3: Cross multiply
    288,682x = 415,836 × 415,836
  4. Step 4: Simplify right side
    288,682x = 172,919,578,896
  5. Step 5: Solve for x
    x = 172,919,578,896/288,682
  6. Step 6: Final answer
    x = 598,996.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.