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Finding the Third Proportional to 291,504 and 627,720

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Solution

The third proportional to 291,504 and 627,720 is: 1,351,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,504 : 627,720 = 627,720 : x
  2. Step 2: Convert to fraction form
    291,504/627,720 = 627,720/x
  3. Step 3: Cross multiply
    291,504x = 627,720 × 627,720
  4. Step 4: Simplify right side
    291,504x = 394,032,398,400
  5. Step 5: Solve for x
    x = 394,032,398,400/291,504
  6. Step 6: Final answer
    x = 1,351,722.10

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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.