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Finding the Third Proportional to 21,820 and 33,364.25

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Solution

The third proportional to 21,820 and 33,364.25 is: 51,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 33,364.25 = 33,364.25 : x
  2. Step 2: Convert to fraction form
    21,820/33,364.25 = 33,364.25/x
  3. Step 3: Cross multiply
    21,820x = 33,364.25 × 33,364.25
  4. Step 4: Simplify right side
    21,820x = 1,113,173,178.06
  5. Step 5: Solve for x
    x = 1,113,173,178.06/21,820
  6. Step 6: Final answer
    x = 51,016.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.