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Finding the Third Proportional to 213,399,981 and 320,099,951.25

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Solution

The third proportional to 213,399,981 and 320,099,951.25 is: 480,149,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,399,981 : 320,099,951.25 = 320,099,951.25 : x
  2. Step 2: Convert to fraction form
    213,399,981/320,099,951.25 = 320,099,951.25/x
  3. Step 3: Cross multiply
    213,399,981x = 320,099,951.25 × 320,099,951.25
  4. Step 4: Simplify right side
    213,399,981x = 102,463,978,790,252,384
  5. Step 5: Solve for x
    x = 102,463,978,790,252,384/213,399,981
  6. Step 6: Final answer
    x = 480,149,896.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.