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Finding the Third Proportional to 7,859 and 17,101

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Solution

The third proportional to 7,859 and 17,101 is: 37,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 17,101 = 17,101 : x
  2. Step 2: Convert to fraction form
    7,859/17,101 = 17,101/x
  3. Step 3: Cross multiply
    7,859x = 17,101 × 17,101
  4. Step 4: Simplify right side
    7,859x = 292,444,201
  5. Step 5: Solve for x
    x = 292,444,201/7,859
  6. Step 6: Final answer
    x = 37,211.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.