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Finding the Third Proportional to 401,571 and 621,797

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Solution

The third proportional to 401,571 and 621,797 is: 962,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,571 : 621,797 = 621,797 : x
  2. Step 2: Convert to fraction form
    401,571/621,797 = 621,797/x
  3. Step 3: Cross multiply
    401,571x = 621,797 × 621,797
  4. Step 4: Simplify right side
    401,571x = 386,631,509,209
  5. Step 5: Solve for x
    x = 386,631,509,209/401,571
  6. Step 6: Final answer
    x = 962,797.39

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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.