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Finding the Third Proportional to 76,878 and 165,240

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Solution

The third proportional to 76,878 and 165,240 is: 355,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878 : 165,240 = 165,240 : x
  2. Step 2: Convert to fraction form
    76,878/165,240 = 165,240/x
  3. Step 3: Cross multiply
    76,878x = 165,240 × 165,240
  4. Step 4: Simplify right side
    76,878x = 27,304,257,600
  5. Step 5: Solve for x
    x = 27,304,257,600/76,878
  6. Step 6: Final answer
    x = 355,163.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.