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Finding the Third Proportional to 52,529 and 78,833

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Solution

The third proportional to 52,529 and 78,833 is: 118,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,529 : 78,833 = 78,833 : x
  2. Step 2: Convert to fraction form
    52,529/78,833 = 78,833/x
  3. Step 3: Cross multiply
    52,529x = 78,833 × 78,833
  4. Step 4: Simplify right side
    52,529x = 6,214,641,889
  5. Step 5: Solve for x
    x = 6,214,641,889/52,529
  6. Step 6: Final answer
    x = 118,308.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.