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Finding the Third Proportional to 128,383.03 and 200,347.03

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Solution

The third proportional to 128,383.03 and 200,347.03 is: 312,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,383.03 : 200,347.03 = 200,347.03 : x
  2. Step 2: Convert to fraction form
    128,383.03/200,347.03 = 200,347.03/x
  3. Step 3: Cross multiply
    128,383.03x = 200,347.03 × 200,347.03
  4. Step 4: Simplify right side
    128,383.03x = 40,138,932,930.69
  5. Step 5: Solve for x
    x = 40,138,932,930.69/128,383.03
  6. Step 6: Final answer
    x = 312,649.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.