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Finding the Third Proportional to 282,289 and 605,509

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Solution

The third proportional to 282,289 and 605,509 is: 1,298,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,289 : 605,509 = 605,509 : x
  2. Step 2: Convert to fraction form
    282,289/605,509 = 605,509/x
  3. Step 3: Cross multiply
    282,289x = 605,509 × 605,509
  4. Step 4: Simplify right side
    282,289x = 366,641,149,081
  5. Step 5: Solve for x
    x = 366,641,149,081/282,289
  6. Step 6: Final answer
    x = 1,298,814.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.