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Finding the Third Proportional to 356,847 and 521,869

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Solution

The third proportional to 356,847 and 521,869 is: 763,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,847 : 521,869 = 521,869 : x
  2. Step 2: Convert to fraction form
    356,847/521,869 = 521,869/x
  3. Step 3: Cross multiply
    356,847x = 521,869 × 521,869
  4. Step 4: Simplify right side
    356,847x = 272,347,253,161
  5. Step 5: Solve for x
    x = 272,347,253,161/356,847
  6. Step 6: Final answer
    x = 763,204.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.