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Finding the Third Proportional to 4,824 and 7,083

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Solution

The third proportional to 4,824 and 7,083 is: 10,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824 : 7,083 = 7,083 : x
  2. Step 2: Convert to fraction form
    4,824/7,083 = 7,083/x
  3. Step 3: Cross multiply
    4,824x = 7,083 × 7,083
  4. Step 4: Simplify right side
    4,824x = 50,168,889
  5. Step 5: Solve for x
    x = 50,168,889/4,824
  6. Step 6: Final answer
    x = 10,399.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.