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Finding the Third Proportional to 20,781 and 36,211.50

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Solution

The third proportional to 20,781 and 36,211.50 is: 63,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781 : 36,211.50 = 36,211.50 : x
  2. Step 2: Convert to fraction form
    20,781/36,211.50 = 36,211.50/x
  3. Step 3: Cross multiply
    20,781x = 36,211.50 × 36,211.50
  4. Step 4: Simplify right side
    20,781x = 1,311,272,732.25
  5. Step 5: Solve for x
    x = 1,311,272,732.25/20,781
  6. Step 6: Final answer
    x = 63,099.60

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.