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Finding the Third Proportional to 312,153 and 682,092

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Solution

The third proportional to 312,153 and 682,092 is: 1,490,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,153 : 682,092 = 682,092 : x
  2. Step 2: Convert to fraction form
    312,153/682,092 = 682,092/x
  3. Step 3: Cross multiply
    312,153x = 682,092 × 682,092
  4. Step 4: Simplify right side
    312,153x = 465,249,496,464
  5. Step 5: Solve for x
    x = 465,249,496,464/312,153
  6. Step 6: Final answer
    x = 1,490,453.39

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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.