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Finding the Third Proportional to 9,091,300.78 and 20,200,420.41

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Solution

The third proportional to 9,091,300.78 and 20,200,420.41 is: 44,884,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091,300.78 : 20,200,420.41 = 20,200,420.41 : x
  2. Step 2: Convert to fraction form
    9,091,300.78/20,200,420.41 = 20,200,420.41/x
  3. Step 3: Cross multiply
    9,091,300.78x = 20,200,420.41 × 20,200,420.41
  4. Step 4: Simplify right side
    9,091,300.78x = 408,056,984,589,241.44
  5. Step 5: Solve for x
    x = 408,056,984,589,241.44/9,091,300.78
  6. Step 6: Final answer
    x = 44,884,334.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.