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Finding the Third Proportional to 401,963 and 622,119

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Solution

The third proportional to 401,963 and 622,119 is: 962,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,963 : 622,119 = 622,119 : x
  2. Step 2: Convert to fraction form
    401,963/622,119 = 622,119/x
  3. Step 3: Cross multiply
    401,963x = 622,119 × 622,119
  4. Step 4: Simplify right side
    401,963x = 387,032,050,161
  5. Step 5: Solve for x
    x = 387,032,050,161/401,963
  6. Step 6: Final answer
    x = 962,854.91

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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.