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Finding the Third Proportional to 91,286 and 140,253

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Solution

The third proportional to 91,286 and 140,253 is: 215,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,286 : 140,253 = 140,253 : x
  2. Step 2: Convert to fraction form
    91,286/140,253 = 140,253/x
  3. Step 3: Cross multiply
    91,286x = 140,253 × 140,253
  4. Step 4: Simplify right side
    91,286x = 19,670,904,009
  5. Step 5: Solve for x
    x = 19,670,904,009/91,286
  6. Step 6: Final answer
    x = 215,486.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.