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Finding the Third Proportional to 94,936 and 143,132.75

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Solution

The third proportional to 94,936 and 143,132.75 is: 215,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,936 : 143,132.75 = 143,132.75 : x
  2. Step 2: Convert to fraction form
    94,936/143,132.75 = 143,132.75/x
  3. Step 3: Cross multiply
    94,936x = 143,132.75 × 143,132.75
  4. Step 4: Simplify right side
    94,936x = 20,486,984,122.56
  5. Step 5: Solve for x
    x = 20,486,984,122.56/94,936
  6. Step 6: Final answer
    x = 215,797.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.