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Finding the Third Proportional to 312,280 and 649,093

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Solution

The third proportional to 312,280 and 649,093 is: 1,349,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,280 : 649,093 = 649,093 : x
  2. Step 2: Convert to fraction form
    312,280/649,093 = 649,093/x
  3. Step 3: Cross multiply
    312,280x = 649,093 × 649,093
  4. Step 4: Simplify right side
    312,280x = 421,321,722,649
  5. Step 5: Solve for x
    x = 421,321,722,649/312,280
  6. Step 6: Final answer
    x = 1,349,179.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.