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Finding the Third Proportional to 11,699 and 25,859

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Solution

The third proportional to 11,699 and 25,859 is: 57,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699 : 25,859 = 25,859 : x
  2. Step 2: Convert to fraction form
    11,699/25,859 = 25,859/x
  3. Step 3: Cross multiply
    11,699x = 25,859 × 25,859
  4. Step 4: Simplify right side
    11,699x = 668,687,881
  5. Step 5: Solve for x
    x = 668,687,881/11,699
  6. Step 6: Final answer
    x = 57,157.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.