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Finding the Third Proportional to 128,736 and 201,231

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Solution

The third proportional to 128,736 and 201,231 is: 314,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,736 : 201,231 = 201,231 : x
  2. Step 2: Convert to fraction form
    128,736/201,231 = 201,231/x
  3. Step 3: Cross multiply
    128,736x = 201,231 × 201,231
  4. Step 4: Simplify right side
    128,736x = 40,493,915,361
  5. Step 5: Solve for x
    x = 40,493,915,361/128,736
  6. Step 6: Final answer
    x = 314,550.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.