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Finding the Third Proportional to 83,880 and 122,361

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Solution

The third proportional to 83,880 and 122,361 is: 178,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880 : 122,361 = 122,361 : x
  2. Step 2: Convert to fraction form
    83,880/122,361 = 122,361/x
  3. Step 3: Cross multiply
    83,880x = 122,361 × 122,361
  4. Step 4: Simplify right side
    83,880x = 14,972,214,321
  5. Step 5: Solve for x
    x = 14,972,214,321/83,880
  6. Step 6: Final answer
    x = 178,495.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.