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Finding the Third Proportional to 105,936 and 232,932

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Solution

The third proportional to 105,936 and 232,932 is: 512,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,936 : 232,932 = 232,932 : x
  2. Step 2: Convert to fraction form
    105,936/232,932 = 232,932/x
  3. Step 3: Cross multiply
    105,936x = 232,932 × 232,932
  4. Step 4: Simplify right side
    105,936x = 54,257,316,624
  5. Step 5: Solve for x
    x = 54,257,316,624/105,936
  6. Step 6: Final answer
    x = 512,170.71

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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.