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Finding the Third Proportional to 309,591 and 632,302

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Solution

The third proportional to 309,591 and 632,302 is: 1,291,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,591 : 632,302 = 632,302 : x
  2. Step 2: Convert to fraction form
    309,591/632,302 = 632,302/x
  3. Step 3: Cross multiply
    309,591x = 632,302 × 632,302
  4. Step 4: Simplify right side
    309,591x = 399,805,819,204
  5. Step 5: Solve for x
    x = 399,805,819,204/309,591
  6. Step 6: Final answer
    x = 1,291,400.01

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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.