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Finding the Third Proportional to 128,428.88 and 204,534.56

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Solution

The third proportional to 128,428.88 and 204,534.56 is: 325,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,428.88 : 204,534.56 = 204,534.56 : x
  2. Step 2: Convert to fraction form
    128,428.88/204,534.56 = 204,534.56/x
  3. Step 3: Cross multiply
    128,428.88x = 204,534.56 × 204,534.56
  4. Step 4: Simplify right side
    128,428.88x = 41,834,387,257.07
  5. Step 5: Solve for x
    x = 41,834,387,257.07/128,428.88
  6. Step 6: Final answer
    x = 325,739.73

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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.