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Finding the Third Proportional to 442,856 and 664,168

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Solution

The third proportional to 442,856 and 664,168 is: 996,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,856 : 664,168 = 664,168 : x
  2. Step 2: Convert to fraction form
    442,856/664,168 = 664,168/x
  3. Step 3: Cross multiply
    442,856x = 664,168 × 664,168
  4. Step 4: Simplify right side
    442,856x = 441,119,132,224
  5. Step 5: Solve for x
    x = 441,119,132,224/442,856
  6. Step 6: Final answer
    x = 996,078.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.