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Finding the Third Proportional to 305,936 and 656,172

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Solution

The third proportional to 305,936 and 656,172 is: 1,407,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,936 : 656,172 = 656,172 : x
  2. Step 2: Convert to fraction form
    305,936/656,172 = 656,172/x
  3. Step 3: Cross multiply
    305,936x = 656,172 × 656,172
  4. Step 4: Simplify right side
    305,936x = 430,561,693,584
  5. Step 5: Solve for x
    x = 430,561,693,584/305,936
  6. Step 6: Final answer
    x = 1,407,358.71

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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.