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Finding the Third Proportional to 282,721 and 615,379

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Solution

The third proportional to 282,721 and 615,379 is: 1,339,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,721 : 615,379 = 615,379 : x
  2. Step 2: Convert to fraction form
    282,721/615,379 = 615,379/x
  3. Step 3: Cross multiply
    282,721x = 615,379 × 615,379
  4. Step 4: Simplify right side
    282,721x = 378,691,313,641
  5. Step 5: Solve for x
    x = 378,691,313,641/282,721
  6. Step 6: Final answer
    x = 1,339,452.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.