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Finding the Third Proportional to 66,972 and 90,956.25

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Solution

The third proportional to 66,972 and 90,956.25 is: 123,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 90,956.25 = 90,956.25 : x
  2. Step 2: Convert to fraction form
    66,972/90,956.25 = 90,956.25/x
  3. Step 3: Cross multiply
    66,972x = 90,956.25 × 90,956.25
  4. Step 4: Simplify right side
    66,972x = 8,273,039,414.06
  5. Step 5: Solve for x
    x = 8,273,039,414.06/66,972
  6. Step 6: Final answer
    x = 123,529.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.