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Finding the Third Proportional to 442,319 and 667,144

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Solution

The third proportional to 442,319 and 667,144 is: 1,006,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,319 : 667,144 = 667,144 : x
  2. Step 2: Convert to fraction form
    442,319/667,144 = 667,144/x
  3. Step 3: Cross multiply
    442,319x = 667,144 × 667,144
  4. Step 4: Simplify right side
    442,319x = 445,081,116,736
  5. Step 5: Solve for x
    x = 445,081,116,736/442,319
  6. Step 6: Final answer
    x = 1,006,244.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.