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Finding the Third Proportional to 274,912 and 579,328

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Solution

The third proportional to 274,912 and 579,328 is: 1,220,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,912 : 579,328 = 579,328 : x
  2. Step 2: Convert to fraction form
    274,912/579,328 = 579,328/x
  3. Step 3: Cross multiply
    274,912x = 579,328 × 579,328
  4. Step 4: Simplify right side
    274,912x = 335,620,931,584
  5. Step 5: Solve for x
    x = 335,620,931,584/274,912
  6. Step 6: Final answer
    x = 1,220,830.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.