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Finding the Third Proportional to 4,387 and 4,828

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Solution

The third proportional to 4,387 and 4,828 is: 5,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387 : 4,828 = 4,828 : x
  2. Step 2: Convert to fraction form
    4,387/4,828 = 4,828/x
  3. Step 3: Cross multiply
    4,387x = 4,828 × 4,828
  4. Step 4: Simplify right side
    4,387x = 23,309,584
  5. Step 5: Solve for x
    x = 23,309,584/4,387
  6. Step 6: Final answer
    x = 5,313.33

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.