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Finding the Third Proportional to 128,821 and 204,427.50

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Solution

The third proportional to 128,821 and 204,427.50 is: 324,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,821 : 204,427.50 = 204,427.50 : x
  2. Step 2: Convert to fraction form
    128,821/204,427.50 = 204,427.50/x
  3. Step 3: Cross multiply
    128,821x = 204,427.50 × 204,427.50
  4. Step 4: Simplify right side
    128,821x = 41,790,602,756.25
  5. Step 5: Solve for x
    x = 41,790,602,756.25/128,821
  6. Step 6: Final answer
    x = 324,408.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.