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Finding the Third Proportional to 14,820 and 20,969

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Solution

The third proportional to 14,820 and 20,969 is: 29,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820 : 20,969 = 20,969 : x
  2. Step 2: Convert to fraction form
    14,820/20,969 = 20,969/x
  3. Step 3: Cross multiply
    14,820x = 20,969 × 20,969
  4. Step 4: Simplify right side
    14,820x = 439,698,961
  5. Step 5: Solve for x
    x = 439,698,961/14,820
  6. Step 6: Final answer
    x = 29,669.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.