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Finding the Third Proportional to 282,290 and 605,512

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Solution

The third proportional to 282,290 and 605,512 is: 1,298,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,290 : 605,512 = 605,512 : x
  2. Step 2: Convert to fraction form
    282,290/605,512 = 605,512/x
  3. Step 3: Cross multiply
    282,290x = 605,512 × 605,512
  4. Step 4: Simplify right side
    282,290x = 366,644,782,144
  5. Step 5: Solve for x
    x = 366,644,782,144/282,290
  6. Step 6: Final answer
    x = 1,298,823.13

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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.