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Finding the Third Proportional to 69,712 and 165,640

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Solution

The third proportional to 69,712 and 165,640 is: 393,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,712 : 165,640 = 165,640 : x
  2. Step 2: Convert to fraction form
    69,712/165,640 = 165,640/x
  3. Step 3: Cross multiply
    69,712x = 165,640 × 165,640
  4. Step 4: Simplify right side
    69,712x = 27,436,609,600
  5. Step 5: Solve for x
    x = 27,436,609,600/69,712
  6. Step 6: Final answer
    x = 393,570.83

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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.