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Finding the Third Proportional to 300,859.88 and 660,772.13

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Solution

The third proportional to 300,859.88 and 660,772.13 is: 1,451,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,859.88 : 660,772.13 = 660,772.13 : x
  2. Step 2: Convert to fraction form
    300,859.88/660,772.13 = 660,772.13/x
  3. Step 3: Cross multiply
    300,859.88x = 660,772.13 × 660,772.13
  4. Step 4: Simplify right side
    300,859.88x = 436,619,801,177.02
  5. Step 5: Solve for x
    x = 436,619,801,177.02/300,859.88
  6. Step 6: Final answer
    x = 1,451,239.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.