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Finding the Third Proportional to 438,736 and 663,504

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Solution

The third proportional to 438,736 and 663,504 is: 1,003,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,736 : 663,504 = 663,504 : x
  2. Step 2: Convert to fraction form
    438,736/663,504 = 663,504/x
  3. Step 3: Cross multiply
    438,736x = 663,504 × 663,504
  4. Step 4: Simplify right side
    438,736x = 440,237,558,016
  5. Step 5: Solve for x
    x = 440,237,558,016/438,736
  6. Step 6: Final answer
    x = 1,003,422.46

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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.