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Finding the Third Proportional to 413,508 and 890,372

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Solution

The third proportional to 413,508 and 890,372 is: 1,917,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,508 : 890,372 = 890,372 : x
  2. Step 2: Convert to fraction form
    413,508/890,372 = 890,372/x
  3. Step 3: Cross multiply
    413,508x = 890,372 × 890,372
  4. Step 4: Simplify right side
    413,508x = 792,762,298,384
  5. Step 5: Solve for x
    x = 792,762,298,384/413,508
  6. Step 6: Final answer
    x = 1,917,163.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.