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Finding the Third Proportional to 312,844 and 683,065

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Solution

The third proportional to 312,844 and 683,065 is: 1,491,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844 : 683,065 = 683,065 : x
  2. Step 2: Convert to fraction form
    312,844/683,065 = 683,065/x
  3. Step 3: Cross multiply
    312,844x = 683,065 × 683,065
  4. Step 4: Simplify right side
    312,844x = 466,577,794,225
  5. Step 5: Solve for x
    x = 466,577,794,225/312,844
  6. Step 6: Final answer
    x = 1,491,407.20

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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.