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Finding the Third Proportional to 13,310 and 20,606

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Solution

The third proportional to 13,310 and 20,606 is: 31,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310 : 20,606 = 20,606 : x
  2. Step 2: Convert to fraction form
    13,310/20,606 = 20,606/x
  3. Step 3: Cross multiply
    13,310x = 20,606 × 20,606
  4. Step 4: Simplify right side
    13,310x = 424,607,236
  5. Step 5: Solve for x
    x = 424,607,236/13,310
  6. Step 6: Final answer
    x = 31,901.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.