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Finding the Third Proportional to 296,940.75 and 648,329.25

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Solution

The third proportional to 296,940.75 and 648,329.25 is: 1,415,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,940.75 : 648,329.25 = 648,329.25 : x
  2. Step 2: Convert to fraction form
    296,940.75/648,329.25 = 648,329.25/x
  3. Step 3: Cross multiply
    296,940.75x = 648,329.25 × 648,329.25
  4. Step 4: Simplify right side
    296,940.75x = 420,330,816,405.56
  5. Step 5: Solve for x
    x = 420,330,816,405.56/296,940.75
  6. Step 6: Final answer
    x = 1,415,537.67

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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.