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Finding the Third Proportional to 165,990 and 355,647

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Solution

The third proportional to 165,990 and 355,647 is: 762,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,990 : 355,647 = 355,647 : x
  2. Step 2: Convert to fraction form
    165,990/355,647 = 355,647/x
  3. Step 3: Cross multiply
    165,990x = 355,647 × 355,647
  4. Step 4: Simplify right side
    165,990x = 126,484,788,609
  5. Step 5: Solve for x
    x = 126,484,788,609/165,990
  6. Step 6: Final answer
    x = 762,002.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.