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Finding the Third Proportional to 277,738 and 605,650

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Solution

The third proportional to 277,738 and 605,650 is: 1,320,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738 : 605,650 = 605,650 : x
  2. Step 2: Convert to fraction form
    277,738/605,650 = 605,650/x
  3. Step 3: Cross multiply
    277,738x = 605,650 × 605,650
  4. Step 4: Simplify right side
    277,738x = 366,811,922,500
  5. Step 5: Solve for x
    x = 366,811,922,500/277,738
  6. Step 6: Final answer
    x = 1,320,712.05

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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.