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Finding the Third Proportional to 70,422,080 and 149,322,592

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Solution

The third proportional to 70,422,080 and 149,322,592 is: 316,622,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422,080 : 149,322,592 = 149,322,592 : x
  2. Step 2: Convert to fraction form
    70,422,080/149,322,592 = 149,322,592/x
  3. Step 3: Cross multiply
    70,422,080x = 149,322,592 × 149,322,592
  4. Step 4: Simplify right side
    70,422,080x = 22,297,236,481,598,464
  5. Step 5: Solve for x
    x = 22,297,236,481,598,464/70,422,080
  6. Step 6: Final answer
    x = 316,622,804.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.