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Finding the Third Proportional to 313,884 and 644,292

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Solution

The third proportional to 313,884 and 644,292 is: 1,322,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,884 : 644,292 = 644,292 : x
  2. Step 2: Convert to fraction form
    313,884/644,292 = 644,292/x
  3. Step 3: Cross multiply
    313,884x = 644,292 × 644,292
  4. Step 4: Simplify right side
    313,884x = 415,112,181,264
  5. Step 5: Solve for x
    x = 415,112,181,264/313,884
  6. Step 6: Final answer
    x = 1,322,501.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.