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Finding the Third Proportional to 285,734.25 and 627,864.75

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Solution

The third proportional to 285,734.25 and 627,864.75 is: 1,379,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,734.25 : 627,864.75 = 627,864.75 : x
  2. Step 2: Convert to fraction form
    285,734.25/627,864.75 = 627,864.75/x
  3. Step 3: Cross multiply
    285,734.25x = 627,864.75 × 627,864.75
  4. Step 4: Simplify right side
    285,734.25x = 394,214,144,292.56
  5. Step 5: Solve for x
    x = 394,214,144,292.56/285,734.25
  6. Step 6: Final answer
    x = 1,379,653.10

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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.