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Finding the Third Proportional to 128,424.38 and 204,528.38

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Solution

The third proportional to 128,424.38 and 204,528.38 is: 325,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,424.38 : 204,528.38 = 204,528.38 : x
  2. Step 2: Convert to fraction form
    128,424.38/204,528.38 = 204,528.38/x
  3. Step 3: Cross multiply
    128,424.38x = 204,528.38 × 204,528.38
  4. Step 4: Simplify right side
    128,424.38x = 41,831,856,180.14
  5. Step 5: Solve for x
    x = 41,831,856,180.14/128,424.38
  6. Step 6: Final answer
    x = 325,731.44

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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.