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Finding the Third Proportional to 285,466.78 and 627,446.25

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Solution

The third proportional to 285,466.78 and 627,446.25 is: 1,379,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466.78 : 627,446.25 = 627,446.25 : x
  2. Step 2: Convert to fraction form
    285,466.78/627,446.25 = 627,446.25/x
  3. Step 3: Cross multiply
    285,466.78x = 627,446.25 × 627,446.25
  4. Step 4: Simplify right side
    285,466.78x = 393,688,796,639.06
  5. Step 5: Solve for x
    x = 393,688,796,639.06/285,466.78
  6. Step 6: Final answer
    x = 1,379,105.46

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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.