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Finding the Third Proportional to 312,158 and 683,788

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Solution

The third proportional to 312,158 and 683,788 is: 1,497,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,158 : 683,788 = 683,788 : x
  2. Step 2: Convert to fraction form
    312,158/683,788 = 683,788/x
  3. Step 3: Cross multiply
    312,158x = 683,788 × 683,788
  4. Step 4: Simplify right side
    312,158x = 467,566,028,944
  5. Step 5: Solve for x
    x = 467,566,028,944/312,158
  6. Step 6: Final answer
    x = 1,497,850.54

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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.