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Finding the Third Proportional to 9,316,144 and 20,128,176

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Solution

The third proportional to 9,316,144 and 20,128,176 is: 43,488,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316,144 : 20,128,176 = 20,128,176 : x
  2. Step 2: Convert to fraction form
    9,316,144/20,128,176 = 20,128,176/x
  3. Step 3: Cross multiply
    9,316,144x = 20,128,176 × 20,128,176
  4. Step 4: Simplify right side
    9,316,144x = 405,143,469,086,976
  5. Step 5: Solve for x
    x = 405,143,469,086,976/9,316,144
  6. Step 6: Final answer
    x = 43,488,321.89

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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.