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Finding the Third Proportional to 405,168 and 628,928

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Solution

The third proportional to 405,168 and 628,928 is: 976,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,168 : 628,928 = 628,928 : x
  2. Step 2: Convert to fraction form
    405,168/628,928 = 628,928/x
  3. Step 3: Cross multiply
    405,168x = 628,928 × 628,928
  4. Step 4: Simplify right side
    405,168x = 395,550,429,184
  5. Step 5: Solve for x
    x = 395,550,429,184/405,168
  6. Step 6: Final answer
    x = 976,262.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.