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Finding the Third Proportional to 128,109.75 and 177,634.50

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Solution

The third proportional to 128,109.75 and 177,634.50 is: 246,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,109.75 : 177,634.50 = 177,634.50 : x
  2. Step 2: Convert to fraction form
    128,109.75/177,634.50 = 177,634.50/x
  3. Step 3: Cross multiply
    128,109.75x = 177,634.50 × 177,634.50
  4. Step 4: Simplify right side
    128,109.75x = 31,554,015,590.25
  5. Step 5: Solve for x
    x = 31,554,015,590.25/128,109.75
  6. Step 6: Final answer
    x = 246,304.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.