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Finding the Third Proportional to 57,684 and 87,609

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Solution

The third proportional to 57,684 and 87,609 is: 133,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684 : 87,609 = 87,609 : x
  2. Step 2: Convert to fraction form
    57,684/87,609 = 87,609/x
  3. Step 3: Cross multiply
    57,684x = 87,609 × 87,609
  4. Step 4: Simplify right side
    57,684x = 7,675,336,881
  5. Step 5: Solve for x
    x = 7,675,336,881/57,684
  6. Step 6: Final answer
    x = 133,058.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.