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Finding the Third Proportional to 115,661 and 178,743

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Solution

The third proportional to 115,661 and 178,743 is: 276,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,661 : 178,743 = 178,743 : x
  2. Step 2: Convert to fraction form
    115,661/178,743 = 178,743/x
  3. Step 3: Cross multiply
    115,661x = 178,743 × 178,743
  4. Step 4: Simplify right side
    115,661x = 31,949,060,049
  5. Step 5: Solve for x
    x = 31,949,060,049/115,661
  6. Step 6: Final answer
    x = 276,230.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.