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Finding the Third Proportional to 40,890 and 83,500

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Solution

The third proportional to 40,890 and 83,500 is: 170,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,890 : 83,500 = 83,500 : x
  2. Step 2: Convert to fraction form
    40,890/83,500 = 83,500/x
  3. Step 3: Cross multiply
    40,890x = 83,500 × 83,500
  4. Step 4: Simplify right side
    40,890x = 6,972,250,000
  5. Step 5: Solve for x
    x = 6,972,250,000/40,890
  6. Step 6: Final answer
    x = 170,512.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.