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Finding the Third Proportional to 9,470.25 and 20,820.38

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Solution

The third proportional to 9,470.25 and 20,820.38 is: 45,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.25 : 20,820.38 = 20,820.38 : x
  2. Step 2: Convert to fraction form
    9,470.25/20,820.38 = 20,820.38/x
  3. Step 3: Cross multiply
    9,470.25x = 20,820.38 × 20,820.38
  4. Step 4: Simplify right side
    9,470.25x = 433,488,015.14
  5. Step 5: Solve for x
    x = 433,488,015.14/9,470.25
  6. Step 6: Final answer
    x = 45,773.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.