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Finding the Third Proportional to 76,774 and 165,210

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Solution

The third proportional to 76,774 and 165,210 is: 355,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,774 : 165,210 = 165,210 : x
  2. Step 2: Convert to fraction form
    76,774/165,210 = 165,210/x
  3. Step 3: Cross multiply
    76,774x = 165,210 × 165,210
  4. Step 4: Simplify right side
    76,774x = 27,294,344,100
  5. Step 5: Solve for x
    x = 27,294,344,100/76,774
  6. Step 6: Final answer
    x = 355,515.46

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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.