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Finding the Third Proportional to 6,640 and 15,864

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Solution

The third proportional to 6,640 and 15,864 is: 37,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640 : 15,864 = 15,864 : x
  2. Step 2: Convert to fraction form
    6,640/15,864 = 15,864/x
  3. Step 3: Cross multiply
    6,640x = 15,864 × 15,864
  4. Step 4: Simplify right side
    6,640x = 251,666,496
  5. Step 5: Solve for x
    x = 251,666,496/6,640
  6. Step 6: Final answer
    x = 37,901.58

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.