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Finding the Third Proportional to 45,745,242 and 100,448,436

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Solution

The third proportional to 45,745,242 and 100,448,436 is: 220,566,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,745,242 : 100,448,436 = 100,448,436 : x
  2. Step 2: Convert to fraction form
    45,745,242/100,448,436 = 100,448,436/x
  3. Step 3: Cross multiply
    45,745,242x = 100,448,436 × 100,448,436
  4. Step 4: Simplify right side
    45,745,242x = 10,089,888,294,846,096
  5. Step 5: Solve for x
    x = 10,089,888,294,846,096/45,745,242
  6. Step 6: Final answer
    x = 220,566,945.41

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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.