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Finding the Third Proportional to 291,784 and 627,920

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Solution

The third proportional to 291,784 and 627,920 is: 1,351,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,784 : 627,920 = 627,920 : x
  2. Step 2: Convert to fraction form
    291,784/627,920 = 627,920/x
  3. Step 3: Cross multiply
    291,784x = 627,920 × 627,920
  4. Step 4: Simplify right side
    291,784x = 394,283,526,400
  5. Step 5: Solve for x
    x = 394,283,526,400/291,784
  6. Step 6: Final answer
    x = 1,351,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.