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Finding the Third Proportional to 10,309 and 17,135

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Solution

The third proportional to 10,309 and 17,135 is: 28,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 17,135 = 17,135 : x
  2. Step 2: Convert to fraction form
    10,309/17,135 = 17,135/x
  3. Step 3: Cross multiply
    10,309x = 17,135 × 17,135
  4. Step 4: Simplify right side
    10,309x = 293,608,225
  5. Step 5: Solve for x
    x = 293,608,225/10,309
  6. Step 6: Final answer
    x = 28,480.77

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.