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Finding the Third Proportional to 277,851 and 414,945

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Solution

The third proportional to 277,851 and 414,945 is: 619,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,851 : 414,945 = 414,945 : x
  2. Step 2: Convert to fraction form
    277,851/414,945 = 414,945/x
  3. Step 3: Cross multiply
    277,851x = 414,945 × 414,945
  4. Step 4: Simplify right side
    277,851x = 172,179,353,025
  5. Step 5: Solve for x
    x = 172,179,353,025/277,851
  6. Step 6: Final answer
    x = 619,682.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.