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Finding the Third Proportional to 66,419,756 and 145,915,504

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Solution

The third proportional to 66,419,756 and 145,915,504 is: 320,557,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419,756 : 145,915,504 = 145,915,504 : x
  2. Step 2: Convert to fraction form
    66,419,756/145,915,504 = 145,915,504/x
  3. Step 3: Cross multiply
    66,419,756x = 145,915,504 × 145,915,504
  4. Step 4: Simplify right side
    66,419,756x = 21,291,334,307,574,016
  5. Step 5: Solve for x
    x = 21,291,334,307,574,016/66,419,756
  6. Step 6: Final answer
    x = 320,557,249.68

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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.