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Finding the Third Proportional to 320,823.28 and 448,558.03

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Solution

The third proportional to 320,823.28 and 448,558.03 is: 627,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,823.28 : 448,558.03 = 448,558.03 : x
  2. Step 2: Convert to fraction form
    320,823.28/448,558.03 = 448,558.03/x
  3. Step 3: Cross multiply
    320,823.28x = 448,558.03 × 448,558.03
  4. Step 4: Simplify right side
    320,823.28x = 201,204,307,398.88
  5. Step 5: Solve for x
    x = 201,204,307,398.88/320,823.28
  6. Step 6: Final answer
    x = 627,149.96

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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.