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Finding the Third Proportional to 290,736 and 643,648

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Solution

The third proportional to 290,736 and 643,648 is: 1,424,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,736 : 643,648 = 643,648 : x
  2. Step 2: Convert to fraction form
    290,736/643,648 = 643,648/x
  3. Step 3: Cross multiply
    290,736x = 643,648 × 643,648
  4. Step 4: Simplify right side
    290,736x = 414,282,747,904
  5. Step 5: Solve for x
    x = 414,282,747,904/290,736
  6. Step 6: Final answer
    x = 1,424,944.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.