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Finding the Third Proportional to 1,292,928 and 2,813,728

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Solution

The third proportional to 1,292,928 and 2,813,728 is: 6,123,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,928 : 2,813,728 = 2,813,728 : x
  2. Step 2: Convert to fraction form
    1,292,928/2,813,728 = 2,813,728/x
  3. Step 3: Cross multiply
    1,292,928x = 2,813,728 × 2,813,728
  4. Step 4: Simplify right side
    1,292,928x = 7,917,065,257,984
  5. Step 5: Solve for x
    x = 7,917,065,257,984/1,292,928
  6. Step 6: Final answer
    x = 6,123,361.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.