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Finding the Third Proportional to 90,186 and 140,190

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Solution

The third proportional to 90,186 and 140,190 is: 217,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,186 : 140,190 = 140,190 : x
  2. Step 2: Convert to fraction form
    90,186/140,190 = 140,190/x
  3. Step 3: Cross multiply
    90,186x = 140,190 × 140,190
  4. Step 4: Simplify right side
    90,186x = 19,653,236,100
  5. Step 5: Solve for x
    x = 19,653,236,100/90,186
  6. Step 6: Final answer
    x = 217,918.92

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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.