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Finding the Third Proportional to 7,405 and 15,983

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Solution

The third proportional to 7,405 and 15,983 is: 34,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405 : 15,983 = 15,983 : x
  2. Step 2: Convert to fraction form
    7,405/15,983 = 15,983/x
  3. Step 3: Cross multiply
    7,405x = 15,983 × 15,983
  4. Step 4: Simplify right side
    7,405x = 255,456,289
  5. Step 5: Solve for x
    x = 255,456,289/7,405
  6. Step 6: Final answer
    x = 34,497.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.