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Finding the Third Proportional to 43,019 and 92,956.50

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Solution

The third proportional to 43,019 and 92,956.50 is: 200,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,019 : 92,956.50 = 92,956.50 : x
  2. Step 2: Convert to fraction form
    43,019/92,956.50 = 92,956.50/x
  3. Step 3: Cross multiply
    43,019x = 92,956.50 × 92,956.50
  4. Step 4: Simplify right side
    43,019x = 8,640,910,892.25
  5. Step 5: Solve for x
    x = 8,640,910,892.25/43,019
  6. Step 6: Final answer
    x = 200,862.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.