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Finding the Third Proportional to 9,454.22 and 20,566.41

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Solution

The third proportional to 9,454.22 and 20,566.41 is: 44,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.22 : 20,566.41 = 20,566.41 : x
  2. Step 2: Convert to fraction form
    9,454.22/20,566.41 = 20,566.41/x
  3. Step 3: Cross multiply
    9,454.22x = 20,566.41 × 20,566.41
  4. Step 4: Simplify right side
    9,454.22x = 422,977,066.04
  5. Step 5: Solve for x
    x = 422,977,066.04/9,454.22
  6. Step 6: Final answer
    x = 44,739.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.