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Finding the Third Proportional to 305,815.50 and 639,515.25

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Solution

The third proportional to 305,815.50 and 639,515.25 is: 1,337,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,815.50 : 639,515.25 = 639,515.25 : x
  2. Step 2: Convert to fraction form
    305,815.50/639,515.25 = 639,515.25/x
  3. Step 3: Cross multiply
    305,815.50x = 639,515.25 × 639,515.25
  4. Step 4: Simplify right side
    305,815.50x = 408,979,754,982.56
  5. Step 5: Solve for x
    x = 408,979,754,982.56/305,815.50
  6. Step 6: Final answer
    x = 1,337,341.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.