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Finding the Third Proportional to 51,990.75 and 77,639.25

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Solution

The third proportional to 51,990.75 and 77,639.25 is: 115,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,990.75 : 77,639.25 = 77,639.25 : x
  2. Step 2: Convert to fraction form
    51,990.75/77,639.25 = 77,639.25/x
  3. Step 3: Cross multiply
    51,990.75x = 77,639.25 × 77,639.25
  4. Step 4: Simplify right side
    51,990.75x = 6,027,853,140.56
  5. Step 5: Solve for x
    x = 6,027,853,140.56/51,990.75
  6. Step 6: Final answer
    x = 115,940.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.