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Finding the Third Proportional to 12,846,728 and 18,915,231

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Solution

The third proportional to 12,846,728 and 18,915,231 is: 27,850,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846,728 : 18,915,231 = 18,915,231 : x
  2. Step 2: Convert to fraction form
    12,846,728/18,915,231 = 18,915,231/x
  3. Step 3: Cross multiply
    12,846,728x = 18,915,231 × 18,915,231
  4. Step 4: Simplify right side
    12,846,728x = 357,785,963,783,361
  5. Step 5: Solve for x
    x = 357,785,963,783,361/12,846,728
  6. Step 6: Final answer
    x = 27,850,357.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.