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Finding the Third Proportional to 14,409 and 21,405

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Solution

The third proportional to 14,409 and 21,405 is: 31,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409 : 21,405 = 21,405 : x
  2. Step 2: Convert to fraction form
    14,409/21,405 = 21,405/x
  3. Step 3: Cross multiply
    14,409x = 21,405 × 21,405
  4. Step 4: Simplify right side
    14,409x = 458,174,025
  5. Step 5: Solve for x
    x = 458,174,025/14,409
  6. Step 6: Final answer
    x = 31,797.77

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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.