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Finding the Third Proportional to 115,659 and 178,740

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Solution

The third proportional to 115,659 and 178,740 is: 276,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,659 : 178,740 = 178,740 : x
  2. Step 2: Convert to fraction form
    115,659/178,740 = 178,740/x
  3. Step 3: Cross multiply
    115,659x = 178,740 × 178,740
  4. Step 4: Simplify right side
    115,659x = 31,947,987,600
  5. Step 5: Solve for x
    x = 31,947,987,600/115,659
  6. Step 6: Final answer
    x = 276,225.69

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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.