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Finding the Third Proportional to 313,078 and 677,203

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Solution

The third proportional to 313,078 and 677,203 is: 1,464,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,078 : 677,203 = 677,203 : x
  2. Step 2: Convert to fraction form
    313,078/677,203 = 677,203/x
  3. Step 3: Cross multiply
    313,078x = 677,203 × 677,203
  4. Step 4: Simplify right side
    313,078x = 458,603,903,209
  5. Step 5: Solve for x
    x = 458,603,903,209/313,078
  6. Step 6: Final answer
    x = 1,464,823.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.