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Finding the Third Proportional to 188,462 and 409,644

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Solution

The third proportional to 188,462 and 409,644 is: 890,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,462 : 409,644 = 409,644 : x
  2. Step 2: Convert to fraction form
    188,462/409,644 = 409,644/x
  3. Step 3: Cross multiply
    188,462x = 409,644 × 409,644
  4. Step 4: Simplify right side
    188,462x = 167,808,206,736
  5. Step 5: Solve for x
    x = 167,808,206,736/188,462
  6. Step 6: Final answer
    x = 890,408.71

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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.