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Finding the Third Proportional to 747,728 and 1,621,664

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Solution

The third proportional to 747,728 and 1,621,664 is: 3,517,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,728 : 1,621,664 = 1,621,664 : x
  2. Step 2: Convert to fraction form
    747,728/1,621,664 = 1,621,664/x
  3. Step 3: Cross multiply
    747,728x = 1,621,664 × 1,621,664
  4. Step 4: Simplify right side
    747,728x = 2,629,794,128,896
  5. Step 5: Solve for x
    x = 2,629,794,128,896/747,728
  6. Step 6: Final answer
    x = 3,517,046.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.