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Finding the Third Proportional to 92,856 and 202,524

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Solution

The third proportional to 92,856 and 202,524 is: 441,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,856 : 202,524 = 202,524 : x
  2. Step 2: Convert to fraction form
    92,856/202,524 = 202,524/x
  3. Step 3: Cross multiply
    92,856x = 202,524 × 202,524
  4. Step 4: Simplify right side
    92,856x = 41,015,970,576
  5. Step 5: Solve for x
    x = 41,015,970,576/92,856
  6. Step 6: Final answer
    x = 441,715.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.