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Finding the Third Proportional to 85,728 and 133,263

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Solution

The third proportional to 85,728 and 133,263 is: 207,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728 : 133,263 = 133,263 : x
  2. Step 2: Convert to fraction form
    85,728/133,263 = 133,263/x
  3. Step 3: Cross multiply
    85,728x = 133,263 × 133,263
  4. Step 4: Simplify right side
    85,728x = 17,759,027,169
  5. Step 5: Solve for x
    x = 17,759,027,169/85,728
  6. Step 6: Final answer
    x = 207,155.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.