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Finding the Third Proportional to 277,336 and 396,316

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Solution

The third proportional to 277,336 and 396,316 is: 566,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,336 : 396,316 = 396,316 : x
  2. Step 2: Convert to fraction form
    277,336/396,316 = 396,316/x
  3. Step 3: Cross multiply
    277,336x = 396,316 × 396,316
  4. Step 4: Simplify right side
    277,336x = 157,066,371,856
  5. Step 5: Solve for x
    x = 157,066,371,856/277,336
  6. Step 6: Final answer
    x = 566,339.65

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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.