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Finding the Third Proportional to 329,621.06 and 699,708.38

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Solution

The third proportional to 329,621.06 and 699,708.38 is: 1,485,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,621.06 : 699,708.38 = 699,708.38 : x
  2. Step 2: Convert to fraction form
    329,621.06/699,708.38 = 699,708.38/x
  3. Step 3: Cross multiply
    329,621.06x = 699,708.38 × 699,708.38
  4. Step 4: Simplify right side
    329,621.06x = 489,591,810,045.14
  5. Step 5: Solve for x
    x = 489,591,810,045.14/329,621.06
  6. Step 6: Final answer
    x = 1,485,317.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.