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Finding the Third Proportional to 76,608 and 164,928

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Solution

The third proportional to 76,608 and 164,928 is: 355,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608 : 164,928 = 164,928 : x
  2. Step 2: Convert to fraction form
    76,608/164,928 = 164,928/x
  3. Step 3: Cross multiply
    76,608x = 164,928 × 164,928
  4. Step 4: Simplify right side
    76,608x = 27,201,245,184
  5. Step 5: Solve for x
    x = 27,201,245,184/76,608
  6. Step 6: Final answer
    x = 355,070.56

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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.