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Finding the Third Proportional to 5,142 and 7,621

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Solution

The third proportional to 5,142 and 7,621 is: 11,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142 : 7,621 = 7,621 : x
  2. Step 2: Convert to fraction form
    5,142/7,621 = 7,621/x
  3. Step 3: Cross multiply
    5,142x = 7,621 × 7,621
  4. Step 4: Simplify right side
    5,142x = 58,079,641
  5. Step 5: Solve for x
    x = 58,079,641/5,142
  6. Step 6: Final answer
    x = 11,295.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.