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Finding the Third Proportional to 412,929 and 909,672.75

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Solution

The third proportional to 412,929 and 909,672.75 is: 2,003,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,929 : 909,672.75 = 909,672.75 : x
  2. Step 2: Convert to fraction form
    412,929/909,672.75 = 909,672.75/x
  3. Step 3: Cross multiply
    412,929x = 909,672.75 × 909,672.75
  4. Step 4: Simplify right side
    412,929x = 827,504,512,092.56
  5. Step 5: Solve for x
    x = 827,504,512,092.56/412,929
  6. Step 6: Final answer
    x = 2,003,987.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.