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Finding the Third Proportional to 285,972 and 627,960

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Solution

The third proportional to 285,972 and 627,960 is: 1,378,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972 : 627,960 = 627,960 : x
  2. Step 2: Convert to fraction form
    285,972/627,960 = 627,960/x
  3. Step 3: Cross multiply
    285,972x = 627,960 × 627,960
  4. Step 4: Simplify right side
    285,972x = 394,333,761,600
  5. Step 5: Solve for x
    x = 394,333,761,600/285,972
  6. Step 6: Final answer
    x = 1,378,924.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.