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Finding the Third Proportional to 15,289 and 31,529

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Solution

The third proportional to 15,289 and 31,529 is: 65,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289 : 31,529 = 31,529 : x
  2. Step 2: Convert to fraction form
    15,289/31,529 = 31,529/x
  3. Step 3: Cross multiply
    15,289x = 31,529 × 31,529
  4. Step 4: Simplify right side
    15,289x = 994,077,841
  5. Step 5: Solve for x
    x = 994,077,841/15,289
  6. Step 6: Final answer
    x = 65,019.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.