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Finding the Third Proportional to 7,120 and 10,621

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Solution

The third proportional to 7,120 and 10,621 is: 15,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120 : 10,621 = 10,621 : x
  2. Step 2: Convert to fraction form
    7,120/10,621 = 10,621/x
  3. Step 3: Cross multiply
    7,120x = 10,621 × 10,621
  4. Step 4: Simplify right side
    7,120x = 112,805,641
  5. Step 5: Solve for x
    x = 112,805,641/7,120
  6. Step 6: Final answer
    x = 15,843.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.