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Finding the Third Proportional to 165,069 and 361,689

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Solution

The third proportional to 165,069 and 361,689 is: 792,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,069 : 361,689 = 361,689 : x
  2. Step 2: Convert to fraction form
    165,069/361,689 = 361,689/x
  3. Step 3: Cross multiply
    165,069x = 361,689 × 361,689
  4. Step 4: Simplify right side
    165,069x = 130,818,932,721
  5. Step 5: Solve for x
    x = 130,818,932,721/165,069
  6. Step 6: Final answer
    x = 792,510.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.