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Finding the Third Proportional to 296,493.75 and 638,016.75

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Solution

The third proportional to 296,493.75 and 638,016.75 is: 1,372,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,493.75 : 638,016.75 = 638,016.75 : x
  2. Step 2: Convert to fraction form
    296,493.75/638,016.75 = 638,016.75/x
  3. Step 3: Cross multiply
    296,493.75x = 638,016.75 × 638,016.75
  4. Step 4: Simplify right side
    296,493.75x = 407,065,373,280.56
  5. Step 5: Solve for x
    x = 407,065,373,280.56/296,493.75
  6. Step 6: Final answer
    x = 1,372,930.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.