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Finding the Third Proportional to 298,944 and 642,264

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Solution

The third proportional to 298,944 and 642,264 is: 1,379,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944 : 642,264 = 642,264 : x
  2. Step 2: Convert to fraction form
    298,944/642,264 = 642,264/x
  3. Step 3: Cross multiply
    298,944x = 642,264 × 642,264
  4. Step 4: Simplify right side
    298,944x = 412,503,045,696
  5. Step 5: Solve for x
    x = 412,503,045,696/298,944
  6. Step 6: Final answer
    x = 1,379,867.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.