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Finding the Third Proportional to 85,667,535 and 128,691,207

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Solution

The third proportional to 85,667,535 and 128,691,207 is: 193,322,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667,535 : 128,691,207 = 128,691,207 : x
  2. Step 2: Convert to fraction form
    85,667,535/128,691,207 = 128,691,207/x
  3. Step 3: Cross multiply
    85,667,535x = 128,691,207 × 128,691,207
  4. Step 4: Simplify right side
    85,667,535x = 16,561,426,759,116,848
  5. Step 5: Solve for x
    x = 16,561,426,759,116,848/85,667,535
  6. Step 6: Final answer
    x = 193,322,088.22

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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.