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Finding the Third Proportional to 311,382 and 677,196

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Solution

The third proportional to 311,382 and 677,196 is: 1,472,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,382 : 677,196 = 677,196 : x
  2. Step 2: Convert to fraction form
    311,382/677,196 = 677,196/x
  3. Step 3: Cross multiply
    311,382x = 677,196 × 677,196
  4. Step 4: Simplify right side
    311,382x = 458,594,422,416
  5. Step 5: Solve for x
    x = 458,594,422,416/311,382
  6. Step 6: Final answer
    x = 1,472,771.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.