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Finding the Third Proportional to 285,972 and 621,744

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Solution

The third proportional to 285,972 and 621,744 is: 1,351,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972 : 621,744 = 621,744 : x
  2. Step 2: Convert to fraction form
    285,972/621,744 = 621,744/x
  3. Step 3: Cross multiply
    285,972x = 621,744 × 621,744
  4. Step 4: Simplify right side
    285,972x = 386,565,601,536
  5. Step 5: Solve for x
    x = 386,565,601,536/285,972
  6. Step 6: Final answer
    x = 1,351,760.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.