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Finding the Third Proportional to 85,667,571 and 128,691,261

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Solution

The third proportional to 85,667,571 and 128,691,261 is: 193,322,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667,571 : 128,691,261 = 128,691,261 : x
  2. Step 2: Convert to fraction form
    85,667,571/128,691,261 = 128,691,261/x
  3. Step 3: Cross multiply
    85,667,571x = 128,691,261 × 128,691,261
  4. Step 4: Simplify right side
    85,667,571x = 16,561,440,657,770,120
  5. Step 5: Solve for x
    x = 16,561,440,657,770,120/85,667,571
  6. Step 6: Final answer
    x = 193,322,169.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.