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Finding the Third Proportional to 316,444 and 644,638

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Solution

The third proportional to 316,444 and 644,638 is: 1,313,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,444 : 644,638 = 644,638 : x
  2. Step 2: Convert to fraction form
    316,444/644,638 = 644,638/x
  3. Step 3: Cross multiply
    316,444x = 644,638 × 644,638
  4. Step 4: Simplify right side
    316,444x = 415,558,151,044
  5. Step 5: Solve for x
    x = 415,558,151,044/316,444
  6. Step 6: Final answer
    x = 1,313,212.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.