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Finding the Third Proportional to 294,694 and 643,368

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Solution

The third proportional to 294,694 and 643,368 is: 1,404,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,694 : 643,368 = 643,368 : x
  2. Step 2: Convert to fraction form
    294,694/643,368 = 643,368/x
  3. Step 3: Cross multiply
    294,694x = 643,368 × 643,368
  4. Step 4: Simplify right side
    294,694x = 413,922,383,424
  5. Step 5: Solve for x
    x = 413,922,383,424/294,694
  6. Step 6: Final answer
    x = 1,404,583.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.