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Finding the Third Proportional to 7,387 and 15,869

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Solution

The third proportional to 7,387 and 15,869 is: 34,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387 : 15,869 = 15,869 : x
  2. Step 2: Convert to fraction form
    7,387/15,869 = 15,869/x
  3. Step 3: Cross multiply
    7,387x = 15,869 × 15,869
  4. Step 4: Simplify right side
    7,387x = 251,825,161
  5. Step 5: Solve for x
    x = 251,825,161/7,387
  6. Step 6: Final answer
    x = 34,090.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.