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Finding the Third Proportional to 401,814 and 622,170

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Solution

The third proportional to 401,814 and 622,170 is: 963,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,814 : 622,170 = 622,170 : x
  2. Step 2: Convert to fraction form
    401,814/622,170 = 622,170/x
  3. Step 3: Cross multiply
    401,814x = 622,170 × 622,170
  4. Step 4: Simplify right side
    401,814x = 387,095,508,900
  5. Step 5: Solve for x
    x = 387,095,508,900/401,814
  6. Step 6: Final answer
    x = 963,369.89

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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.