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Finding the Third Proportional to 14,218 and 20,809

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Solution

The third proportional to 14,218 and 20,809 is: 30,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218 : 20,809 = 20,809 : x
  2. Step 2: Convert to fraction form
    14,218/20,809 = 20,809/x
  3. Step 3: Cross multiply
    14,218x = 20,809 × 20,809
  4. Step 4: Simplify right side
    14,218x = 433,014,481
  5. Step 5: Solve for x
    x = 433,014,481/14,218
  6. Step 6: Final answer
    x = 30,455.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.