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Finding the Third Proportional to 9,419,720 and 20,202,362

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Solution

The third proportional to 9,419,720 and 20,202,362 is: 43,327,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,720 : 20,202,362 = 20,202,362 : x
  2. Step 2: Convert to fraction form
    9,419,720/20,202,362 = 20,202,362/x
  3. Step 3: Cross multiply
    9,419,720x = 20,202,362 × 20,202,362
  4. Step 4: Simplify right side
    9,419,720x = 408,135,430,379,044
  5. Step 5: Solve for x
    x = 408,135,430,379,044/9,419,720
  6. Step 6: Final answer
    x = 43,327,766.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.