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Finding the Third Proportional to 305,228 and 661,302

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Solution

The third proportional to 305,228 and 661,302 is: 1,432,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,228 : 661,302 = 661,302 : x
  2. Step 2: Convert to fraction form
    305,228/661,302 = 661,302/x
  3. Step 3: Cross multiply
    305,228x = 661,302 × 661,302
  4. Step 4: Simplify right side
    305,228x = 437,320,335,204
  5. Step 5: Solve for x
    x = 437,320,335,204/305,228
  6. Step 6: Final answer
    x = 1,432,766.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.