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Finding the Third Proportional to 277,740 and 605,658

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Solution

The third proportional to 277,740 and 605,658 is: 1,320,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,740 : 605,658 = 605,658 : x
  2. Step 2: Convert to fraction form
    277,740/605,658 = 605,658/x
  3. Step 3: Cross multiply
    277,740x = 605,658 × 605,658
  4. Step 4: Simplify right side
    277,740x = 366,821,612,964
  5. Step 5: Solve for x
    x = 366,821,612,964/277,740
  6. Step 6: Final answer
    x = 1,320,737.43

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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.