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Finding the Third Proportional to 30,542,589 and 65,868,147

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Solution

The third proportional to 30,542,589 and 65,868,147 is: 142,051,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542,589 : 65,868,147 = 65,868,147 : x
  2. Step 2: Convert to fraction form
    30,542,589/65,868,147 = 65,868,147/x
  3. Step 3: Cross multiply
    30,542,589x = 65,868,147 × 65,868,147
  4. Step 4: Simplify right side
    30,542,589x = 4,338,612,789,213,609
  5. Step 5: Solve for x
    x = 4,338,612,789,213,609/30,542,589
  6. Step 6: Final answer
    x = 142,051,244.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.