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Finding the Third Proportional to 312,831 and 683,028

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Solution

The third proportional to 312,831 and 683,028 is: 1,491,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,831 : 683,028 = 683,028 : x
  2. Step 2: Convert to fraction form
    312,831/683,028 = 683,028/x
  3. Step 3: Cross multiply
    312,831x = 683,028 × 683,028
  4. Step 4: Simplify right side
    312,831x = 466,527,248,784
  5. Step 5: Solve for x
    x = 466,527,248,784/312,831
  6. Step 6: Final answer
    x = 1,491,307.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.