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Finding the Third Proportional to 403,908 and 627,172

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Solution

The third proportional to 403,908 and 627,172 is: 973,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,908 : 627,172 = 627,172 : x
  2. Step 2: Convert to fraction form
    403,908/627,172 = 627,172/x
  3. Step 3: Cross multiply
    403,908x = 627,172 × 627,172
  4. Step 4: Simplify right side
    403,908x = 393,344,717,584
  5. Step 5: Solve for x
    x = 393,344,717,584/403,908
  6. Step 6: Final answer
    x = 973,847.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.