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Finding the Third Proportional to 315,400 and 683,288

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Solution

The third proportional to 315,400 and 683,288 is: 1,480,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,400 : 683,288 = 683,288 : x
  2. Step 2: Convert to fraction form
    315,400/683,288 = 683,288/x
  3. Step 3: Cross multiply
    315,400x = 683,288 × 683,288
  4. Step 4: Simplify right side
    315,400x = 466,882,490,944
  5. Step 5: Solve for x
    x = 466,882,490,944/315,400
  6. Step 6: Final answer
    x = 1,480,286.91

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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.