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Finding the Third Proportional to 101,780 and 155,694

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Solution

The third proportional to 101,780 and 155,694 is: 238,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780 : 155,694 = 155,694 : x
  2. Step 2: Convert to fraction form
    101,780/155,694 = 155,694/x
  3. Step 3: Cross multiply
    101,780x = 155,694 × 155,694
  4. Step 4: Simplify right side
    101,780x = 24,240,621,636
  5. Step 5: Solve for x
    x = 24,240,621,636/101,780
  6. Step 6: Final answer
    x = 238,166.85

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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.