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Finding the Third Proportional to 326,976 and 698,304

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Solution

The third proportional to 326,976 and 698,304 is: 1,491,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,976 : 698,304 = 698,304 : x
  2. Step 2: Convert to fraction form
    326,976/698,304 = 698,304/x
  3. Step 3: Cross multiply
    326,976x = 698,304 × 698,304
  4. Step 4: Simplify right side
    326,976x = 487,628,476,416
  5. Step 5: Solve for x
    x = 487,628,476,416/326,976
  6. Step 6: Final answer
    x = 1,491,328.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.