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Finding the Third Proportional to 76,791 and 165,243

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Solution

The third proportional to 76,791 and 165,243 is: 355,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791 : 165,243 = 165,243 : x
  2. Step 2: Convert to fraction form
    76,791/165,243 = 165,243/x
  3. Step 3: Cross multiply
    76,791x = 165,243 × 165,243
  4. Step 4: Simplify right side
    76,791x = 27,305,249,049
  5. Step 5: Solve for x
    x = 27,305,249,049/76,791
  6. Step 6: Final answer
    x = 355,578.77

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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.