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Finding the Third Proportional to 311,050 and 682,363

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Solution

The third proportional to 311,050 and 682,363 is: 1,496,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,050 : 682,363 = 682,363 : x
  2. Step 2: Convert to fraction form
    311,050/682,363 = 682,363/x
  3. Step 3: Cross multiply
    311,050x = 682,363 × 682,363
  4. Step 4: Simplify right side
    311,050x = 465,619,263,769
  5. Step 5: Solve for x
    x = 465,619,263,769/311,050
  6. Step 6: Final answer
    x = 1,496,927.39

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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.