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Finding the Third Proportional to 13,670 and 20,905

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Solution

The third proportional to 13,670 and 20,905 is: 31,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670 : 20,905 = 20,905 : x
  2. Step 2: Convert to fraction form
    13,670/20,905 = 20,905/x
  3. Step 3: Cross multiply
    13,670x = 20,905 × 20,905
  4. Step 4: Simplify right side
    13,670x = 437,019,025
  5. Step 5: Solve for x
    x = 437,019,025/13,670
  6. Step 6: Final answer
    x = 31,969.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.