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Finding the Third Proportional to 20,780.44 and 43,039.13

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Solution

The third proportional to 20,780.44 and 43,039.13 is: 89,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.44 : 43,039.13 = 43,039.13 : x
  2. Step 2: Convert to fraction form
    20,780.44/43,039.13 = 43,039.13/x
  3. Step 3: Cross multiply
    20,780.44x = 43,039.13 × 43,039.13
  4. Step 4: Simplify right side
    20,780.44x = 1,852,366,280.77
  5. Step 5: Solve for x
    x = 1,852,366,280.77/20,780.44
  6. Step 6: Final answer
    x = 89,139.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.