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Finding the Third Proportional to 312,660 and 683,640

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Solution

The third proportional to 312,660 and 683,640 is: 1,494,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,660 : 683,640 = 683,640 : x
  2. Step 2: Convert to fraction form
    312,660/683,640 = 683,640/x
  3. Step 3: Cross multiply
    312,660x = 683,640 × 683,640
  4. Step 4: Simplify right side
    312,660x = 467,363,649,600
  5. Step 5: Solve for x
    x = 467,363,649,600/312,660
  6. Step 6: Final answer
    x = 1,494,798.34

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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.