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Finding the Third Proportional to 239,832 and 515,953

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Solution

The third proportional to 239,832 and 515,953 is: 1,109,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,832 : 515,953 = 515,953 : x
  2. Step 2: Convert to fraction form
    239,832/515,953 = 515,953/x
  3. Step 3: Cross multiply
    239,832x = 515,953 × 515,953
  4. Step 4: Simplify right side
    239,832x = 266,207,498,209
  5. Step 5: Solve for x
    x = 266,207,498,209/239,832
  6. Step 6: Final answer
    x = 1,109,974.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.