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Finding the Third Proportional to 66,419,780 and 145,915,552

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Solution

The third proportional to 66,419,780 and 145,915,552 is: 320,557,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419,780 : 145,915,552 = 145,915,552 : x
  2. Step 2: Convert to fraction form
    66,419,780/145,915,552 = 145,915,552/x
  3. Step 3: Cross multiply
    66,419,780x = 145,915,552 × 145,915,552
  4. Step 4: Simplify right side
    66,419,780x = 21,291,348,315,464,704
  5. Step 5: Solve for x
    x = 21,291,348,315,464,704/66,419,780
  6. Step 6: Final answer
    x = 320,557,344.75

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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.