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Finding the Third Proportional to 412,434 and 627,291

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Solution

The third proportional to 412,434 and 627,291 is: 954,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,434 : 627,291 = 627,291 : x
  2. Step 2: Convert to fraction form
    412,434/627,291 = 627,291/x
  3. Step 3: Cross multiply
    412,434x = 627,291 × 627,291
  4. Step 4: Simplify right side
    412,434x = 393,493,998,681
  5. Step 5: Solve for x
    x = 393,493,998,681/412,434
  6. Step 6: Final answer
    x = 954,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.