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Finding the Third Proportional to 9,452,144 and 20,734,096

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Solution

The third proportional to 9,452,144 and 20,734,096 is: 45,482,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452,144 : 20,734,096 = 20,734,096 : x
  2. Step 2: Convert to fraction form
    9,452,144/20,734,096 = 20,734,096/x
  3. Step 3: Cross multiply
    9,452,144x = 20,734,096 × 20,734,096
  4. Step 4: Simplify right side
    9,452,144x = 429,902,736,937,216
  5. Step 5: Solve for x
    x = 429,902,736,937,216/9,452,144
  6. Step 6: Final answer
    x = 45,482,034.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.