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Finding the Third Proportional to 57,079.75 and 90,378.75

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Solution

The third proportional to 57,079.75 and 90,378.75 is: 143,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.75 : 90,378.75 = 90,378.75 : x
  2. Step 2: Convert to fraction form
    57,079.75/90,378.75 = 90,378.75/x
  3. Step 3: Cross multiply
    57,079.75x = 90,378.75 × 90,378.75
  4. Step 4: Simplify right side
    57,079.75x = 8,168,318,451.56
  5. Step 5: Solve for x
    x = 8,168,318,451.56/57,079.75
  6. Step 6: Final answer
    x = 143,103.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.