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Finding the Third Proportional to 101,780 and 155,696

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Solution

The third proportional to 101,780 and 155,696 is: 238,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780 : 155,696 = 155,696 : x
  2. Step 2: Convert to fraction form
    101,780/155,696 = 155,696/x
  3. Step 3: Cross multiply
    101,780x = 155,696 × 155,696
  4. Step 4: Simplify right side
    101,780x = 24,241,244,416
  5. Step 5: Solve for x
    x = 24,241,244,416/101,780
  6. Step 6: Final answer
    x = 238,172.97

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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.