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Finding the Third Proportional to 333,485 and 741,578

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Solution

The third proportional to 333,485 and 741,578 is: 1,649,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,485 : 741,578 = 741,578 : x
  2. Step 2: Convert to fraction form
    333,485/741,578 = 741,578/x
  3. Step 3: Cross multiply
    333,485x = 741,578 × 741,578
  4. Step 4: Simplify right side
    333,485x = 549,937,930,084
  5. Step 5: Solve for x
    x = 549,937,930,084/333,485
  6. Step 6: Final answer
    x = 1,649,063.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.