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Finding the Third Proportional to 309,603 and 632,325

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Solution

The third proportional to 309,603 and 632,325 is: 1,291,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,603 : 632,325 = 632,325 : x
  2. Step 2: Convert to fraction form
    309,603/632,325 = 632,325/x
  3. Step 3: Cross multiply
    309,603x = 632,325 × 632,325
  4. Step 4: Simplify right side
    309,603x = 399,834,905,625
  5. Step 5: Solve for x
    x = 399,834,905,625/309,603
  6. Step 6: Final answer
    x = 1,291,443.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.