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Finding the Third Proportional to 10,709 and 15,221

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Solution

The third proportional to 10,709 and 15,221 is: 21,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709 : 15,221 = 15,221 : x
  2. Step 2: Convert to fraction form
    10,709/15,221 = 15,221/x
  3. Step 3: Cross multiply
    10,709x = 15,221 × 15,221
  4. Step 4: Simplify right side
    10,709x = 231,678,841
  5. Step 5: Solve for x
    x = 231,678,841/10,709
  6. Step 6: Final answer
    x = 21,634.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.