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Finding the Third Proportional to 91,296 and 138,186

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Solution

The third proportional to 91,296 and 138,186 is: 209,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,296 : 138,186 = 138,186 : x
  2. Step 2: Convert to fraction form
    91,296/138,186 = 138,186/x
  3. Step 3: Cross multiply
    91,296x = 138,186 × 138,186
  4. Step 4: Simplify right side
    91,296x = 19,095,370,596
  5. Step 5: Solve for x
    x = 19,095,370,596/91,296
  6. Step 6: Final answer
    x = 209,158.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.