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Finding the Third Proportional to 40,890 and 87,609

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Solution

The third proportional to 40,890 and 87,609 is: 187,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890 : 87,609 = 87,609 : x
  2. Step 2: Convert to fraction form
    40,890/87,609 = 87,609/x
  3. Step 3: Cross multiply
    40,890x = 87,609 × 87,609
  4. Step 4: Simplify right side
    40,890x = 7,675,336,881
  5. Step 5: Solve for x
    x = 7,675,336,881/40,890
  6. Step 6: Final answer
    x = 187,706.94

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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.