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Finding the Third Proportional to 401,726 and 622,021

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Solution

The third proportional to 401,726 and 622,021 is: 963,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,726 : 622,021 = 622,021 : x
  2. Step 2: Convert to fraction form
    401,726/622,021 = 622,021/x
  3. Step 3: Cross multiply
    401,726x = 622,021 × 622,021
  4. Step 4: Simplify right side
    401,726x = 386,910,124,441
  5. Step 5: Solve for x
    x = 386,910,124,441/401,726
  6. Step 6: Final answer
    x = 963,119.45

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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.