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Finding the Third Proportional to 289,473.75 and 628,458.75

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Solution

The third proportional to 289,473.75 and 628,458.75 is: 1,364,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,473.75 : 628,458.75 = 628,458.75 : x
  2. Step 2: Convert to fraction form
    289,473.75/628,458.75 = 628,458.75/x
  3. Step 3: Cross multiply
    289,473.75x = 628,458.75 × 628,458.75
  4. Step 4: Simplify right side
    289,473.75x = 394,960,400,451.56
  5. Step 5: Solve for x
    x = 394,960,400,451.56/289,473.75
  6. Step 6: Final answer
    x = 1,364,408.35

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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.