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Finding the Third Proportional to 315,999 and 676,285

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Solution

The third proportional to 315,999 and 676,285 is: 1,447,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,999 : 676,285 = 676,285 : x
  2. Step 2: Convert to fraction form
    315,999/676,285 = 676,285/x
  3. Step 3: Cross multiply
    315,999x = 676,285 × 676,285
  4. Step 4: Simplify right side
    315,999x = 457,361,401,225
  5. Step 5: Solve for x
    x = 457,361,401,225/315,999
  6. Step 6: Final answer
    x = 1,447,350.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.