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Finding the Third Proportional to 9,622,165.50 and 20,938,265.44

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Solution

The third proportional to 9,622,165.50 and 20,938,265.44 is: 45,562,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622,165.50 : 20,938,265.44 = 20,938,265.44 : x
  2. Step 2: Convert to fraction form
    9,622,165.50/20,938,265.44 = 20,938,265.44/x
  3. Step 3: Cross multiply
    9,622,165.50x = 20,938,265.44 × 20,938,265.44
  4. Step 4: Simplify right side
    9,622,165.50x = 438,410,959,531,207.06
  5. Step 5: Solve for x
    x = 438,410,959,531,207.06/9,622,165.50
  6. Step 6: Final answer
    x = 45,562,608.49

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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.