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Finding the Third Proportional to 401,775 and 622,503

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Solution

The third proportional to 401,775 and 622,503 is: 964,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,775 : 622,503 = 622,503 : x
  2. Step 2: Convert to fraction form
    401,775/622,503 = 622,503/x
  3. Step 3: Cross multiply
    401,775x = 622,503 × 622,503
  4. Step 4: Simplify right side
    401,775x = 387,509,985,009
  5. Step 5: Solve for x
    x = 387,509,985,009/401,775
  6. Step 6: Final answer
    x = 964,495.02

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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.