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Finding the Third Proportional to 128,421.75 and 204,524.25

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Solution

The third proportional to 128,421.75 and 204,524.25 is: 325,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,421.75 : 204,524.25 = 204,524.25 : x
  2. Step 2: Convert to fraction form
    128,421.75/204,524.25 = 204,524.25/x
  3. Step 3: Cross multiply
    128,421.75x = 204,524.25 × 204,524.25
  4. Step 4: Simplify right side
    128,421.75x = 41,830,168,838.06
  5. Step 5: Solve for x
    x = 41,830,168,838.06/128,421.75
  6. Step 6: Final answer
    x = 325,724.96

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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.