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Finding the Third Proportional to 292,226 and 622,108

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Solution

The third proportional to 292,226 and 622,108 is: 1,324,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,226 : 622,108 = 622,108 : x
  2. Step 2: Convert to fraction form
    292,226/622,108 = 622,108/x
  3. Step 3: Cross multiply
    292,226x = 622,108 × 622,108
  4. Step 4: Simplify right side
    292,226x = 387,018,363,664
  5. Step 5: Solve for x
    x = 387,018,363,664/292,226
  6. Step 6: Final answer
    x = 1,324,380.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.