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Finding the Third Proportional to 407,720 and 622,231

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Solution

The third proportional to 407,720 and 622,231 is: 949,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,720 : 622,231 = 622,231 : x
  2. Step 2: Convert to fraction form
    407,720/622,231 = 622,231/x
  3. Step 3: Cross multiply
    407,720x = 622,231 × 622,231
  4. Step 4: Simplify right side
    407,720x = 387,171,417,361
  5. Step 5: Solve for x
    x = 387,171,417,361/407,720
  6. Step 6: Final answer
    x = 949,601.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.