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Finding the Third Proportional to 76,889 and 166,411

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Solution

The third proportional to 76,889 and 166,411 is: 360,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,889 : 166,411 = 166,411 : x
  2. Step 2: Convert to fraction form
    76,889/166,411 = 166,411/x
  3. Step 3: Cross multiply
    76,889x = 166,411 × 166,411
  4. Step 4: Simplify right side
    76,889x = 27,692,620,921
  5. Step 5: Solve for x
    x = 27,692,620,921/76,889
  6. Step 6: Final answer
    x = 360,163.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.