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Finding the Third Proportional to 355,108.50 and 762,921

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Solution

The third proportional to 355,108.50 and 762,921 is: 1,639,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,108.50 : 762,921 = 762,921 : x
  2. Step 2: Convert to fraction form
    355,108.50/762,921 = 762,921/x
  3. Step 3: Cross multiply
    355,108.50x = 762,921 × 762,921
  4. Step 4: Simplify right side
    355,108.50x = 582,048,452,241
  5. Step 5: Solve for x
    x = 582,048,452,241/355,108.50
  6. Step 6: Final answer
    x = 1,639,072.15

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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.