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Finding the Third Proportional to 100,686 and 141,138

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Solution

The third proportional to 100,686 and 141,138 is: 197,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686 : 141,138 = 141,138 : x
  2. Step 2: Convert to fraction form
    100,686/141,138 = 141,138/x
  3. Step 3: Cross multiply
    100,686x = 141,138 × 141,138
  4. Step 4: Simplify right side
    100,686x = 19,919,935,044
  5. Step 5: Solve for x
    x = 19,919,935,044/100,686
  6. Step 6: Final answer
    x = 197,842.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.