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Finding the Third Proportional to 401,732 and 622,555

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Solution

The third proportional to 401,732 and 622,555 is: 964,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,732 : 622,555 = 622,555 : x
  2. Step 2: Convert to fraction form
    401,732/622,555 = 622,555/x
  3. Step 3: Cross multiply
    401,732x = 622,555 × 622,555
  4. Step 4: Simplify right side
    401,732x = 387,574,728,025
  5. Step 5: Solve for x
    x = 387,574,728,025/401,732
  6. Step 6: Final answer
    x = 964,759.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.