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Finding the Third Proportional to 83,880 and 128,740

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Solution

The third proportional to 83,880 and 128,740 is: 197,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880 : 128,740 = 128,740 : x
  2. Step 2: Convert to fraction form
    83,880/128,740 = 128,740/x
  3. Step 3: Cross multiply
    83,880x = 128,740 × 128,740
  4. Step 4: Simplify right side
    83,880x = 16,573,987,600
  5. Step 5: Solve for x
    x = 16,573,987,600/83,880
  6. Step 6: Final answer
    x = 197,591.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.