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Finding the Third Proportional to 205,315 and 274,638

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Solution

The third proportional to 205,315 and 274,638 is: 367,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,315 : 274,638 = 274,638 : x
  2. Step 2: Convert to fraction form
    205,315/274,638 = 274,638/x
  3. Step 3: Cross multiply
    205,315x = 274,638 × 274,638
  4. Step 4: Simplify right side
    205,315x = 75,426,031,044
  5. Step 5: Solve for x
    x = 75,426,031,044/205,315
  6. Step 6: Final answer
    x = 367,367.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.