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Finding the Third Proportional to 294,702 and 643,384

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Solution

The third proportional to 294,702 and 643,384 is: 1,404,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,702 : 643,384 = 643,384 : x
  2. Step 2: Convert to fraction form
    294,702/643,384 = 643,384/x
  3. Step 3: Cross multiply
    294,702x = 643,384 × 643,384
  4. Step 4: Simplify right side
    294,702x = 413,942,971,456
  5. Step 5: Solve for x
    x = 413,942,971,456/294,702
  6. Step 6: Final answer
    x = 1,404,615.41

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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.