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Finding the Third Proportional to 305,910 and 656,106.75

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Solution

The third proportional to 305,910 and 656,106.75 is: 1,407,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910 : 656,106.75 = 656,106.75 : x
  2. Step 2: Convert to fraction form
    305,910/656,106.75 = 656,106.75/x
  3. Step 3: Cross multiply
    305,910x = 656,106.75 × 656,106.75
  4. Step 4: Simplify right side
    305,910x = 430,476,067,395.56
  5. Step 5: Solve for x
    x = 430,476,067,395.56/305,910
  6. Step 6: Final answer
    x = 1,407,198.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.