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Finding the Third Proportional to 69,069 and 150,630

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Solution

The third proportional to 69,069 and 150,630 is: 328,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,069 : 150,630 = 150,630 : x
  2. Step 2: Convert to fraction form
    69,069/150,630 = 150,630/x
  3. Step 3: Cross multiply
    69,069x = 150,630 × 150,630
  4. Step 4: Simplify right side
    69,069x = 22,689,396,900
  5. Step 5: Solve for x
    x = 22,689,396,900/69,069
  6. Step 6: Final answer
    x = 328,503.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.