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Finding the Third Proportional to 21,274.25 and 29,812.25

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Solution

The third proportional to 21,274.25 and 29,812.25 is: 41,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.25 : 29,812.25 = 29,812.25 : x
  2. Step 2: Convert to fraction form
    21,274.25/29,812.25 = 29,812.25/x
  3. Step 3: Cross multiply
    21,274.25x = 29,812.25 × 29,812.25
  4. Step 4: Simplify right side
    21,274.25x = 888,770,250.06
  5. Step 5: Solve for x
    x = 888,770,250.06/21,274.25
  6. Step 6: Final answer
    x = 41,776.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.