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Finding the Third Proportional to 20,942 and 44,780.50

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Solution

The third proportional to 20,942 and 44,780.50 is: 95,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942 : 44,780.50 = 44,780.50 : x
  2. Step 2: Convert to fraction form
    20,942/44,780.50 = 44,780.50/x
  3. Step 3: Cross multiply
    20,942x = 44,780.50 × 44,780.50
  4. Step 4: Simplify right side
    20,942x = 2,005,293,180.25
  5. Step 5: Solve for x
    x = 2,005,293,180.25/20,942
  6. Step 6: Final answer
    x = 95,754.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.