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Finding the Third Proportional to 90,783 and 119,868.75

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Solution

The third proportional to 90,783 and 119,868.75 is: 158,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783 : 119,868.75 = 119,868.75 : x
  2. Step 2: Convert to fraction form
    90,783/119,868.75 = 119,868.75/x
  3. Step 3: Cross multiply
    90,783x = 119,868.75 × 119,868.75
  4. Step 4: Simplify right side
    90,783x = 14,368,517,226.56
  5. Step 5: Solve for x
    x = 14,368,517,226.56/90,783
  6. Step 6: Final answer
    x = 158,273.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.