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Finding the Third Proportional to 285,197 and 619,663

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Solution

The third proportional to 285,197 and 619,663 is: 1,346,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,197 : 619,663 = 619,663 : x
  2. Step 2: Convert to fraction form
    285,197/619,663 = 619,663/x
  3. Step 3: Cross multiply
    285,197x = 619,663 × 619,663
  4. Step 4: Simplify right side
    285,197x = 383,982,233,569
  5. Step 5: Solve for x
    x = 383,982,233,569/285,197
  6. Step 6: Final answer
    x = 1,346,375.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.