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Finding the Third Proportional to 277,310 and 396,276

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Solution

The third proportional to 277,310 and 396,276 is: 566,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,310 : 396,276 = 396,276 : x
  2. Step 2: Convert to fraction form
    277,310/396,276 = 396,276/x
  3. Step 3: Cross multiply
    277,310x = 396,276 × 396,276
  4. Step 4: Simplify right side
    277,310x = 157,034,668,176
  5. Step 5: Solve for x
    x = 157,034,668,176/277,310
  6. Step 6: Final answer
    x = 566,278.42

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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.