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Finding the Third Proportional to 13,307,728 and 20,210,640

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Solution

The third proportional to 13,307,728 and 20,210,640 is: 30,694,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307,728 : 20,210,640 = 20,210,640 : x
  2. Step 2: Convert to fraction form
    13,307,728/20,210,640 = 20,210,640/x
  3. Step 3: Cross multiply
    13,307,728x = 20,210,640 × 20,210,640
  4. Step 4: Simplify right side
    13,307,728x = 408,469,969,209,600
  5. Step 5: Solve for x
    x = 408,469,969,209,600/13,307,728
  6. Step 6: Final answer
    x = 30,694,192.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.