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Finding the Third Proportional to 81,684 and 128,364.75

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Solution

The third proportional to 81,684 and 128,364.75 is: 201,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684 : 128,364.75 = 128,364.75 : x
  2. Step 2: Convert to fraction form
    81,684/128,364.75 = 128,364.75/x
  3. Step 3: Cross multiply
    81,684x = 128,364.75 × 128,364.75
  4. Step 4: Simplify right side
    81,684x = 16,477,509,042.56
  5. Step 5: Solve for x
    x = 16,477,509,042.56/81,684
  6. Step 6: Final answer
    x = 201,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.