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Finding the Third Proportional to 289,790.75 and 627,846

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Solution

The third proportional to 289,790.75 and 627,846 is: 1,360,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,790.75 : 627,846 = 627,846 : x
  2. Step 2: Convert to fraction form
    289,790.75/627,846 = 627,846/x
  3. Step 3: Cross multiply
    289,790.75x = 627,846 × 627,846
  4. Step 4: Simplify right side
    289,790.75x = 394,190,599,716
  5. Step 5: Solve for x
    x = 394,190,599,716/289,790.75
  6. Step 6: Final answer
    x = 1,360,259.43

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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.