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Finding the Third Proportional to 14,121.84 and 21,879.28

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Solution

The third proportional to 14,121.84 and 21,879.28 is: 33,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.84 : 21,879.28 = 21,879.28 : x
  2. Step 2: Convert to fraction form
    14,121.84/21,879.28 = 21,879.28/x
  3. Step 3: Cross multiply
    14,121.84x = 21,879.28 × 21,879.28
  4. Step 4: Simplify right side
    14,121.84x = 478,702,948.02
  5. Step 5: Solve for x
    x = 478,702,948.02/14,121.84
  6. Step 6: Final answer
    x = 33,898.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.