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Finding the Third Proportional to 304,686 and 668,447

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Solution

The third proportional to 304,686 and 668,447 is: 1,466,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,686 : 668,447 = 668,447 : x
  2. Step 2: Convert to fraction form
    304,686/668,447 = 668,447/x
  3. Step 3: Cross multiply
    304,686x = 668,447 × 668,447
  4. Step 4: Simplify right side
    304,686x = 446,821,391,809
  5. Step 5: Solve for x
    x = 446,821,391,809/304,686
  6. Step 6: Final answer
    x = 1,466,497.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.