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Finding the Third Proportional to 288,457 and 631,204

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Solution

The third proportional to 288,457 and 631,204 is: 1,381,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,457 : 631,204 = 631,204 : x
  2. Step 2: Convert to fraction form
    288,457/631,204 = 631,204/x
  3. Step 3: Cross multiply
    288,457x = 631,204 × 631,204
  4. Step 4: Simplify right side
    288,457x = 398,418,489,616
  5. Step 5: Solve for x
    x = 398,418,489,616/288,457
  6. Step 6: Final answer
    x = 1,381,205.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.