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Finding the Third Proportional to 83,630 and 180,391

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Solution

The third proportional to 83,630 and 180,391 is: 389,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,630 : 180,391 = 180,391 : x
  2. Step 2: Convert to fraction form
    83,630/180,391 = 180,391/x
  3. Step 3: Cross multiply
    83,630x = 180,391 × 180,391
  4. Step 4: Simplify right side
    83,630x = 32,540,912,881
  5. Step 5: Solve for x
    x = 32,540,912,881/83,630
  6. Step 6: Final answer
    x = 389,105.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.