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Finding the Third Proportional to 213,399,990 and 320,099,963

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Solution

The third proportional to 213,399,990 and 320,099,963 is: 480,149,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,399,990 : 320,099,963 = 320,099,963 : x
  2. Step 2: Convert to fraction form
    213,399,990/320,099,963 = 320,099,963/x
  3. Step 3: Cross multiply
    213,399,990x = 320,099,963 × 320,099,963
  4. Step 4: Simplify right side
    213,399,990x = 102,463,986,312,601,376
  5. Step 5: Solve for x
    x = 102,463,986,312,601,376/213,399,990
  6. Step 6: Final answer
    x = 480,149,911.50

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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.