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Finding the Third Proportional to 306,626 and 670,250

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Solution

The third proportional to 306,626 and 670,250 is: 1,465,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,626 : 670,250 = 670,250 : x
  2. Step 2: Convert to fraction form
    306,626/670,250 = 670,250/x
  3. Step 3: Cross multiply
    306,626x = 670,250 × 670,250
  4. Step 4: Simplify right side
    306,626x = 449,235,062,500
  5. Step 5: Solve for x
    x = 449,235,062,500/306,626
  6. Step 6: Final answer
    x = 1,465,091.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.