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Finding the Third Proportional to 257,647.39 and 338,805.60

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Solution

The third proportional to 257,647.39 and 338,805.60 is: 445,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,647.39 : 338,805.60 = 338,805.60 : x
  2. Step 2: Convert to fraction form
    257,647.39/338,805.60 = 338,805.60/x
  3. Step 3: Cross multiply
    257,647.39x = 338,805.60 × 338,805.60
  4. Step 4: Simplify right side
    257,647.39x = 114,789,233,003.21
  5. Step 5: Solve for x
    x = 114,789,233,003.21/257,647.39
  6. Step 6: Final answer
    x = 445,528.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.