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Finding the Third Proportional to 10,201.78 and 21,627.84

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Solution

The third proportional to 10,201.78 and 21,627.84 is: 45,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.78 : 21,627.84 = 21,627.84 : x
  2. Step 2: Convert to fraction form
    10,201.78/21,627.84 = 21,627.84/x
  3. Step 3: Cross multiply
    10,201.78x = 21,627.84 × 21,627.84
  4. Step 4: Simplify right side
    10,201.78x = 467,763,625.27
  5. Step 5: Solve for x
    x = 467,763,625.27/10,201.78
  6. Step 6: Final answer
    x = 45,851.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.