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Finding the Third Proportional to 277,447 and 416,208

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Solution

The third proportional to 277,447 and 416,208 is: 624,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,447 : 416,208 = 416,208 : x
  2. Step 2: Convert to fraction form
    277,447/416,208 = 416,208/x
  3. Step 3: Cross multiply
    277,447x = 416,208 × 416,208
  4. Step 4: Simplify right side
    277,447x = 173,229,099,264
  5. Step 5: Solve for x
    x = 173,229,099,264/277,447
  6. Step 6: Final answer
    x = 624,368.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.