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Finding the Third Proportional to 76,768 and 165,200

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Solution

The third proportional to 76,768 and 165,200 is: 355,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768 : 165,200 = 165,200 : x
  2. Step 2: Convert to fraction form
    76,768/165,200 = 165,200/x
  3. Step 3: Cross multiply
    76,768x = 165,200 × 165,200
  4. Step 4: Simplify right side
    76,768x = 27,291,040,000
  5. Step 5: Solve for x
    x = 27,291,040,000/76,768
  6. Step 6: Final answer
    x = 355,500.21

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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.