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Finding the Third Proportional to 5,420 and 7,751

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Solution

The third proportional to 5,420 and 7,751 is: 11,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 7,751 = 7,751 : x
  2. Step 2: Convert to fraction form
    5,420/7,751 = 7,751/x
  3. Step 3: Cross multiply
    5,420x = 7,751 × 7,751
  4. Step 4: Simplify right side
    5,420x = 60,078,001
  5. Step 5: Solve for x
    x = 60,078,001/5,420
  6. Step 6: Final answer
    x = 11,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.