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Finding the Third Proportional to 405,141.75 and 880,814.25

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Solution

The third proportional to 405,141.75 and 880,814.25 is: 1,914,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.75 : 880,814.25 = 880,814.25 : x
  2. Step 2: Convert to fraction form
    405,141.75/880,814.25 = 880,814.25/x
  3. Step 3: Cross multiply
    405,141.75x = 880,814.25 × 880,814.25
  4. Step 4: Simplify right side
    405,141.75x = 775,833,743,003.06
  5. Step 5: Solve for x
    x = 775,833,743,003.06/405,141.75
  6. Step 6: Final answer
    x = 1,914,968.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.