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Finding the Third Proportional to 13,864 and 21,210

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Solution

The third proportional to 13,864 and 21,210 is: 32,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 21,210 = 21,210 : x
  2. Step 2: Convert to fraction form
    13,864/21,210 = 21,210/x
  3. Step 3: Cross multiply
    13,864x = 21,210 × 21,210
  4. Step 4: Simplify right side
    13,864x = 449,864,100
  5. Step 5: Solve for x
    x = 449,864,100/13,864
  6. Step 6: Final answer
    x = 32,448.36

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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.