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Finding the Third Proportional to 85,667,544 and 128,691,216

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Solution

The third proportional to 85,667,544 and 128,691,216 is: 193,322,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667,544 : 128,691,216 = 128,691,216 : x
  2. Step 2: Convert to fraction form
    85,667,544/128,691,216 = 128,691,216/x
  3. Step 3: Cross multiply
    85,667,544x = 128,691,216 × 128,691,216
  4. Step 4: Simplify right side
    85,667,544x = 16,561,429,075,558,656
  5. Step 5: Solve for x
    x = 16,561,429,075,558,656/85,667,544
  6. Step 6: Final answer
    x = 193,322,094.95

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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.