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Finding the Third Proportional to 199,771.31 and 438,908.63

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Solution

The third proportional to 199,771.31 and 438,908.63 is: 964,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,771.31 : 438,908.63 = 438,908.63 : x
  2. Step 2: Convert to fraction form
    199,771.31/438,908.63 = 438,908.63/x
  3. Step 3: Cross multiply
    199,771.31x = 438,908.63 × 438,908.63
  4. Step 4: Simplify right side
    199,771.31x = 192,640,781,099.39
  5. Step 5: Solve for x
    x = 192,640,781,099.39/199,771.31
  6. Step 6: Final answer
    x = 964,306.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.