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Finding the Third Proportional to 69,698 and 165,605

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Solution

The third proportional to 69,698 and 165,605 is: 393,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698 : 165,605 = 165,605 : x
  2. Step 2: Convert to fraction form
    69,698/165,605 = 165,605/x
  3. Step 3: Cross multiply
    69,698x = 165,605 × 165,605
  4. Step 4: Simplify right side
    69,698x = 27,425,016,025
  5. Step 5: Solve for x
    x = 27,425,016,025/69,698
  6. Step 6: Final answer
    x = 393,483.54

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.