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Finding the Third Proportional to 288,711 and 628,218.75

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Solution

The third proportional to 288,711 and 628,218.75 is: 1,366,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,711 : 628,218.75 = 628,218.75 : x
  2. Step 2: Convert to fraction form
    288,711/628,218.75 = 628,218.75/x
  3. Step 3: Cross multiply
    288,711x = 628,218.75 × 628,218.75
  4. Step 4: Simplify right side
    288,711x = 394,658,797,851.56
  5. Step 5: Solve for x
    x = 394,658,797,851.56/288,711
  6. Step 6: Final answer
    x = 1,366,968.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.