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Finding the Third Proportional to 285,512 and 627,520

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Solution

The third proportional to 285,512 and 627,520 is: 1,379,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,512 : 627,520 = 627,520 : x
  2. Step 2: Convert to fraction form
    285,512/627,520 = 627,520/x
  3. Step 3: Cross multiply
    285,512x = 627,520 × 627,520
  4. Step 4: Simplify right side
    285,512x = 393,781,350,400
  5. Step 5: Solve for x
    x = 393,781,350,400/285,512
  6. Step 6: Final answer
    x = 1,379,211.21

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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.