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Finding the Third Proportional to 405,864 and 904,896

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Solution

The third proportional to 405,864 and 904,896 is: 2,017,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,864 : 904,896 = 904,896 : x
  2. Step 2: Convert to fraction form
    405,864/904,896 = 904,896/x
  3. Step 3: Cross multiply
    405,864x = 904,896 × 904,896
  4. Step 4: Simplify right side
    405,864x = 818,836,770,816
  5. Step 5: Solve for x
    x = 818,836,770,816/405,864
  6. Step 6: Final answer
    x = 2,017,515.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.