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Finding the Third Proportional to 282,277 and 605,486

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Solution

The third proportional to 282,277 and 605,486 is: 1,298,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277 : 605,486 = 605,486 : x
  2. Step 2: Convert to fraction form
    282,277/605,486 = 605,486/x
  3. Step 3: Cross multiply
    282,277x = 605,486 × 605,486
  4. Step 4: Simplify right side
    282,277x = 366,613,296,196
  5. Step 5: Solve for x
    x = 366,613,296,196/282,277
  6. Step 6: Final answer
    x = 1,298,771.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.