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Finding the Third Proportional to 306,603 and 659,826

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Solution

The third proportional to 306,603 and 659,826 is: 1,419,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,603 : 659,826 = 659,826 : x
  2. Step 2: Convert to fraction form
    306,603/659,826 = 659,826/x
  3. Step 3: Cross multiply
    306,603x = 659,826 × 659,826
  4. Step 4: Simplify right side
    306,603x = 435,370,350,276
  5. Step 5: Solve for x
    x = 435,370,350,276/306,603
  6. Step 6: Final answer
    x = 1,419,980.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.