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Finding the Third Proportional to 83,880 and 127,728

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Solution

The third proportional to 83,880 and 127,728 is: 194,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880 : 127,728 = 127,728 : x
  2. Step 2: Convert to fraction form
    83,880/127,728 = 127,728/x
  3. Step 3: Cross multiply
    83,880x = 127,728 × 127,728
  4. Step 4: Simplify right side
    83,880x = 16,314,441,984
  5. Step 5: Solve for x
    x = 16,314,441,984/83,880
  6. Step 6: Final answer
    x = 194,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.