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Finding the Third Proportional to 296,858.25 and 648,153.56

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Solution

The third proportional to 296,858.25 and 648,153.56 is: 1,415,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,858.25 : 648,153.56 = 648,153.56 : x
  2. Step 2: Convert to fraction form
    296,858.25/648,153.56 = 648,153.56/x
  3. Step 3: Cross multiply
    296,858.25x = 648,153.56 × 648,153.56
  4. Step 4: Simplify right side
    296,858.25x = 420,103,040,581.44
  5. Step 5: Solve for x
    x = 420,103,040,581.44/296,858.25
  6. Step 6: Final answer
    x = 1,415,163.77

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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.