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Finding the Third Proportional to 290,734 and 643,644

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Solution

The third proportional to 290,734 and 643,644 is: 1,424,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,734 : 643,644 = 643,644 : x
  2. Step 2: Convert to fraction form
    290,734/643,644 = 643,644/x
  3. Step 3: Cross multiply
    290,734x = 643,644 × 643,644
  4. Step 4: Simplify right side
    290,734x = 414,277,598,736
  5. Step 5: Solve for x
    x = 414,277,598,736/290,734
  6. Step 6: Final answer
    x = 1,424,936.88

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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.