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Finding the Third Proportional to 21,733 and 45,839.75

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Solution

The third proportional to 21,733 and 45,839.75 is: 96,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733 : 45,839.75 = 45,839.75 : x
  2. Step 2: Convert to fraction form
    21,733/45,839.75 = 45,839.75/x
  3. Step 3: Cross multiply
    21,733x = 45,839.75 × 45,839.75
  4. Step 4: Simplify right side
    21,733x = 2,101,282,680.06
  5. Step 5: Solve for x
    x = 2,101,282,680.06/21,733
  6. Step 6: Final answer
    x = 96,686.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.