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Finding the Third Proportional to 66,419,772 and 145,915,536

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Solution

The third proportional to 66,419,772 and 145,915,536 is: 320,557,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419,772 : 145,915,536 = 145,915,536 : x
  2. Step 2: Convert to fraction form
    66,419,772/145,915,536 = 145,915,536/x
  3. Step 3: Cross multiply
    66,419,772x = 145,915,536 × 145,915,536
  4. Step 4: Simplify right side
    66,419,772x = 21,291,343,646,167,296
  5. Step 5: Solve for x
    x = 21,291,343,646,167,296/66,419,772
  6. Step 6: Final answer
    x = 320,557,313.06

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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.