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Finding the Third Proportional to 44,863.50 and 80,956.50

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Solution

The third proportional to 44,863.50 and 80,956.50 is: 146,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,863.50 : 80,956.50 = 80,956.50 : x
  2. Step 2: Convert to fraction form
    44,863.50/80,956.50 = 80,956.50/x
  3. Step 3: Cross multiply
    44,863.50x = 80,956.50 × 80,956.50
  4. Step 4: Simplify right side
    44,863.50x = 6,553,954,892.25
  5. Step 5: Solve for x
    x = 6,553,954,892.25/44,863.50
  6. Step 6: Final answer
    x = 146,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.