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Finding the Third Proportional to 128,103.75 and 182,486.25

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Solution

The third proportional to 128,103.75 and 182,486.25 is: 259,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,103.75 : 182,486.25 = 182,486.25 : x
  2. Step 2: Convert to fraction form
    128,103.75/182,486.25 = 182,486.25/x
  3. Step 3: Cross multiply
    128,103.75x = 182,486.25 × 182,486.25
  4. Step 4: Simplify right side
    128,103.75x = 33,301,231,439.06
  5. Step 5: Solve for x
    x = 33,301,231,439.06/128,103.75
  6. Step 6: Final answer
    x = 259,955.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.