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Finding the Third Proportional to 103,691 and 158,813

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Solution

The third proportional to 103,691 and 158,813 is: 243,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 158,813 = 158,813 : x
  2. Step 2: Convert to fraction form
    103,691/158,813 = 158,813/x
  3. Step 3: Cross multiply
    103,691x = 158,813 × 158,813
  4. Step 4: Simplify right side
    103,691x = 25,221,568,969
  5. Step 5: Solve for x
    x = 25,221,568,969/103,691
  6. Step 6: Final answer
    x = 243,237.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.