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Finding the Third Proportional to 312,164 and 683,800

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Solution

The third proportional to 312,164 and 683,800 is: 1,497,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164 : 683,800 = 683,800 : x
  2. Step 2: Convert to fraction form
    312,164/683,800 = 683,800/x
  3. Step 3: Cross multiply
    312,164x = 683,800 × 683,800
  4. Step 4: Simplify right side
    312,164x = 467,582,440,000
  5. Step 5: Solve for x
    x = 467,582,440,000/312,164
  6. Step 6: Final answer
    x = 1,497,874.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.