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Finding the Third Proportional to 392,814 and 627,614

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Solution

The third proportional to 392,814 and 627,614 is: 1,002,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,814 : 627,614 = 627,614 : x
  2. Step 2: Convert to fraction form
    392,814/627,614 = 627,614/x
  3. Step 3: Cross multiply
    392,814x = 627,614 × 627,614
  4. Step 4: Simplify right side
    392,814x = 393,899,332,996
  5. Step 5: Solve for x
    x = 393,899,332,996/392,814
  6. Step 6: Final answer
    x = 1,002,762.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.