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Finding the Third Proportional to 380,928 and 727,296

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Solution

The third proportional to 380,928 and 727,296 is: 1,388,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,928 : 727,296 = 727,296 : x
  2. Step 2: Convert to fraction form
    380,928/727,296 = 727,296/x
  3. Step 3: Cross multiply
    380,928x = 727,296 × 727,296
  4. Step 4: Simplify right side
    380,928x = 528,959,471,616
  5. Step 5: Solve for x
    x = 528,959,471,616/380,928
  6. Step 6: Final answer
    x = 1,388,607.48

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.