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Finding the Third Proportional to 312,840 and 683,057

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Solution

The third proportional to 312,840 and 683,057 is: 1,491,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,840 : 683,057 = 683,057 : x
  2. Step 2: Convert to fraction form
    312,840/683,057 = 683,057/x
  3. Step 3: Cross multiply
    312,840x = 683,057 × 683,057
  4. Step 4: Simplify right side
    312,840x = 466,566,865,249
  5. Step 5: Solve for x
    x = 466,566,865,249/312,840
  6. Step 6: Final answer
    x = 1,491,391.34

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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.