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Finding the Third Proportional to 427,721 and 918,622

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Solution

The third proportional to 427,721 and 918,622 is: 1,972,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,721 : 918,622 = 918,622 : x
  2. Step 2: Convert to fraction form
    427,721/918,622 = 918,622/x
  3. Step 3: Cross multiply
    427,721x = 918,622 × 918,622
  4. Step 4: Simplify right side
    427,721x = 843,866,378,884
  5. Step 5: Solve for x
    x = 843,866,378,884/427,721
  6. Step 6: Final answer
    x = 1,972,936.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.