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Finding the Third Proportional to 401,450 and 605,577

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Solution

The third proportional to 401,450 and 605,577 is: 913,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,450 : 605,577 = 605,577 : x
  2. Step 2: Convert to fraction form
    401,450/605,577 = 605,577/x
  3. Step 3: Cross multiply
    401,450x = 605,577 × 605,577
  4. Step 4: Simplify right side
    401,450x = 366,723,502,929
  5. Step 5: Solve for x
    x = 366,723,502,929/401,450
  6. Step 6: Final answer
    x = 913,497.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.