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Finding the Third Proportional to 329,690 and 706,036

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Solution

The third proportional to 329,690 and 706,036 is: 1,511,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,690 : 706,036 = 706,036 : x
  2. Step 2: Convert to fraction form
    329,690/706,036 = 706,036/x
  3. Step 3: Cross multiply
    329,690x = 706,036 × 706,036
  4. Step 4: Simplify right side
    329,690x = 498,486,833,296
  5. Step 5: Solve for x
    x = 498,486,833,296/329,690
  6. Step 6: Final answer
    x = 1,511,986.51

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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.