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Finding the Third Proportional to 103,691 and 140,702

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Solution

The third proportional to 103,691 and 140,702 is: 190,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 140,702 = 140,702 : x
  2. Step 2: Convert to fraction form
    103,691/140,702 = 140,702/x
  3. Step 3: Cross multiply
    103,691x = 140,702 × 140,702
  4. Step 4: Simplify right side
    103,691x = 19,797,052,804
  5. Step 5: Solve for x
    x = 19,797,052,804/103,691
  6. Step 6: Final answer
    x = 190,923.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.