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Finding the Third Proportional to 282,722 and 618,916

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Solution

The third proportional to 282,722 and 618,916 is: 1,354,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,722 : 618,916 = 618,916 : x
  2. Step 2: Convert to fraction form
    282,722/618,916 = 618,916/x
  3. Step 3: Cross multiply
    282,722x = 618,916 × 618,916
  4. Step 4: Simplify right side
    282,722x = 383,057,015,056
  5. Step 5: Solve for x
    x = 383,057,015,056/282,722
  6. Step 6: Final answer
    x = 1,354,889.31

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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.