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Finding the Third Proportional to 305,932 and 656,149

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Solution

The third proportional to 305,932 and 656,149 is: 1,407,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,932 : 656,149 = 656,149 : x
  2. Step 2: Convert to fraction form
    305,932/656,149 = 656,149/x
  3. Step 3: Cross multiply
    305,932x = 656,149 × 656,149
  4. Step 4: Simplify right side
    305,932x = 430,531,510,201
  5. Step 5: Solve for x
    x = 430,531,510,201/305,932
  6. Step 6: Final answer
    x = 1,407,278.45

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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.