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Finding the Third Proportional to 5,728 and 7,488

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Solution

The third proportional to 5,728 and 7,488 is: 9,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728 : 7,488 = 7,488 : x
  2. Step 2: Convert to fraction form
    5,728/7,488 = 7,488/x
  3. Step 3: Cross multiply
    5,728x = 7,488 × 7,488
  4. Step 4: Simplify right side
    5,728x = 56,070,144
  5. Step 5: Solve for x
    x = 56,070,144/5,728
  6. Step 6: Final answer
    x = 9,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.