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Finding the Third Proportional to 4,342,923 and 9,542,421

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Solution

The third proportional to 4,342,923 and 9,542,421 is: 20,966,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342,923 : 9,542,421 = 9,542,421 : x
  2. Step 2: Convert to fraction form
    4,342,923/9,542,421 = 9,542,421/x
  3. Step 3: Cross multiply
    4,342,923x = 9,542,421 × 9,542,421
  4. Step 4: Simplify right side
    4,342,923x = 91,057,798,541,241
  5. Step 5: Solve for x
    x = 91,057,798,541,241/4,342,923
  6. Step 6: Final answer
    x = 20,966,938.29

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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.