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Finding the Third Proportional to 9,610.78 and 20,801.06

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Solution

The third proportional to 9,610.78 and 20,801.06 is: 45,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.78 : 20,801.06 = 20,801.06 : x
  2. Step 2: Convert to fraction form
    9,610.78/20,801.06 = 20,801.06/x
  3. Step 3: Cross multiply
    9,610.78x = 20,801.06 × 20,801.06
  4. Step 4: Simplify right side
    9,610.78x = 432,684,201.13
  5. Step 5: Solve for x
    x = 432,684,201.13/9,610.78
  6. Step 6: Final answer
    x = 45,020.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.