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Finding the Third Proportional to 401,803 and 622,549

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Solution

The third proportional to 401,803 and 622,549 is: 964,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,803 : 622,549 = 622,549 : x
  2. Step 2: Convert to fraction form
    401,803/622,549 = 622,549/x
  3. Step 3: Cross multiply
    401,803x = 622,549 × 622,549
  4. Step 4: Simplify right side
    401,803x = 387,567,257,401
  5. Step 5: Solve for x
    x = 387,567,257,401/401,803
  6. Step 6: Final answer
    x = 964,570.34

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