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Finding the Third Proportional to 298,201.50 and 640,899

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Solution

The third proportional to 298,201.50 and 640,899 is: 1,377,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,201.50 : 640,899 = 640,899 : x
  2. Step 2: Convert to fraction form
    298,201.50/640,899 = 640,899/x
  3. Step 3: Cross multiply
    298,201.50x = 640,899 × 640,899
  4. Step 4: Simplify right side
    298,201.50x = 410,751,528,201
  5. Step 5: Solve for x
    x = 410,751,528,201/298,201.50
  6. Step 6: Final answer
    x = 1,377,429.45

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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.