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Finding the Third Proportional to 4,728 and 5,272

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Solution

The third proportional to 4,728 and 5,272 is: 5,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728 : 5,272 = 5,272 : x
  2. Step 2: Convert to fraction form
    4,728/5,272 = 5,272/x
  3. Step 3: Cross multiply
    4,728x = 5,272 × 5,272
  4. Step 4: Simplify right side
    4,728x = 27,793,984
  5. Step 5: Solve for x
    x = 27,793,984/4,728
  6. Step 6: Final answer
    x = 5,878.59

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.