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Finding the Third Proportional to 611,512 and 1,306,728

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Solution

The third proportional to 611,512 and 1,306,728 is: 2,792,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,512 : 1,306,728 = 1,306,728 : x
  2. Step 2: Convert to fraction form
    611,512/1,306,728 = 1,306,728/x
  3. Step 3: Cross multiply
    611,512x = 1,306,728 × 1,306,728
  4. Step 4: Simplify right side
    611,512x = 1,707,538,065,984
  5. Step 5: Solve for x
    x = 1,707,538,065,984/611,512
  6. Step 6: Final answer
    x = 2,792,321.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.