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Finding the Third Proportional to 277,278 and 396,216

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Solution

The third proportional to 277,278 and 396,216 is: 566,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,278 : 396,216 = 396,216 : x
  2. Step 2: Convert to fraction form
    277,278/396,216 = 396,216/x
  3. Step 3: Cross multiply
    277,278x = 396,216 × 396,216
  4. Step 4: Simplify right side
    277,278x = 156,987,118,656
  5. Step 5: Solve for x
    x = 156,987,118,656/277,278
  6. Step 6: Final answer
    x = 566,172.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.