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Finding the Third Proportional to 419,940.75 and 909,865.50

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Solution

The third proportional to 419,940.75 and 909,865.50 is: 1,971,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,940.75 : 909,865.50 = 909,865.50 : x
  2. Step 2: Convert to fraction form
    419,940.75/909,865.50 = 909,865.50/x
  3. Step 3: Cross multiply
    419,940.75x = 909,865.50 × 909,865.50
  4. Step 4: Simplify right side
    419,940.75x = 827,855,228,090.25
  5. Step 5: Solve for x
    x = 827,855,228,090.25/419,940.75
  6. Step 6: Final answer
    x = 1,971,361.98

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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.