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Finding the Third Proportional to 13,670 and 21,735

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Solution

The third proportional to 13,670 and 21,735 is: 34,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670 : 21,735 = 21,735 : x
  2. Step 2: Convert to fraction form
    13,670/21,735 = 21,735/x
  3. Step 3: Cross multiply
    13,670x = 21,735 × 21,735
  4. Step 4: Simplify right side
    13,670x = 472,410,225
  5. Step 5: Solve for x
    x = 472,410,225/13,670
  6. Step 6: Final answer
    x = 34,558.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.