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Finding the Third Proportional to 320,930.44 and 448,657.31

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Solution

The third proportional to 320,930.44 and 448,657.31 is: 627,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,930.44 : 448,657.31 = 448,657.31 : x
  2. Step 2: Convert to fraction form
    320,930.44/448,657.31 = 448,657.31/x
  3. Step 3: Cross multiply
    320,930.44x = 448,657.31 × 448,657.31
  4. Step 4: Simplify right side
    320,930.44x = 201,293,384,059.72
  5. Step 5: Solve for x
    x = 201,293,384,059.72/320,930.44
  6. Step 6: Final answer
    x = 627,218.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.