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Finding the Third Proportional to 407,814.75 and 647,777.25

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Solution

The third proportional to 407,814.75 and 647,777.25 is: 1,028,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,814.75 : 647,777.25 = 647,777.25 : x
  2. Step 2: Convert to fraction form
    407,814.75/647,777.25 = 647,777.25/x
  3. Step 3: Cross multiply
    407,814.75x = 647,777.25 × 647,777.25
  4. Step 4: Simplify right side
    407,814.75x = 419,615,365,617.56
  5. Step 5: Solve for x
    x = 419,615,365,617.56/407,814.75
  6. Step 6: Final answer
    x = 1,028,936.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.