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Finding the Third Proportional to 396,928 and 572,736

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Solution

The third proportional to 396,928 and 572,736 is: 826,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,928 : 572,736 = 572,736 : x
  2. Step 2: Convert to fraction form
    396,928/572,736 = 572,736/x
  3. Step 3: Cross multiply
    396,928x = 572,736 × 572,736
  4. Step 4: Simplify right side
    396,928x = 328,026,525,696
  5. Step 5: Solve for x
    x = 328,026,525,696/396,928
  6. Step 6: Final answer
    x = 826,413.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.