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Finding the Third Proportional to 277,438 and 605,149

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Solution

The third proportional to 277,438 and 605,149 is: 1,319,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,438 : 605,149 = 605,149 : x
  2. Step 2: Convert to fraction form
    277,438/605,149 = 605,149/x
  3. Step 3: Cross multiply
    277,438x = 605,149 × 605,149
  4. Step 4: Simplify right side
    277,438x = 366,205,312,201
  5. Step 5: Solve for x
    x = 366,205,312,201/277,438
  6. Step 6: Final answer
    x = 1,319,953.69

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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.