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Finding the Third Proportional to 75,069 and 166,530

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Solution

The third proportional to 75,069 and 166,530 is: 369,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,069 : 166,530 = 166,530 : x
  2. Step 2: Convert to fraction form
    75,069/166,530 = 166,530/x
  3. Step 3: Cross multiply
    75,069x = 166,530 × 166,530
  4. Step 4: Simplify right side
    75,069x = 27,732,240,900
  5. Step 5: Solve for x
    x = 27,732,240,900/75,069
  6. Step 6: Final answer
    x = 369,423.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.