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Finding the Third Proportional to 14,115 and 21,009

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Solution

The third proportional to 14,115 and 21,009 is: 31,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115 : 21,009 = 21,009 : x
  2. Step 2: Convert to fraction form
    14,115/21,009 = 21,009/x
  3. Step 3: Cross multiply
    14,115x = 21,009 × 21,009
  4. Step 4: Simplify right side
    14,115x = 441,378,081
  5. Step 5: Solve for x
    x = 441,378,081/14,115
  6. Step 6: Final answer
    x = 31,270.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.