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Finding the Third Proportional to 103,696 and 158,821

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Solution

The third proportional to 103,696 and 158,821 is: 243,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 158,821 = 158,821 : x
  2. Step 2: Convert to fraction form
    103,696/158,821 = 158,821/x
  3. Step 3: Cross multiply
    103,696x = 158,821 × 158,821
  4. Step 4: Simplify right side
    103,696x = 25,224,110,041
  5. Step 5: Solve for x
    x = 25,224,110,041/103,696
  6. Step 6: Final answer
    x = 243,250.56

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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.