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Finding the Third Proportional to 52,128 and 80,768

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Solution

The third proportional to 52,128 and 80,768 is: 125,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 80,768 = 80,768 : x
  2. Step 2: Convert to fraction form
    52,128/80,768 = 80,768/x
  3. Step 3: Cross multiply
    52,128x = 80,768 × 80,768
  4. Step 4: Simplify right side
    52,128x = 6,523,469,824
  5. Step 5: Solve for x
    x = 6,523,469,824/52,128
  6. Step 6: Final answer
    x = 125,143.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.