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Finding the Third Proportional to 201,718 and 434,558

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Solution

The third proportional to 201,718 and 434,558 is: 936,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718 : 434,558 = 434,558 : x
  2. Step 2: Convert to fraction form
    201,718/434,558 = 434,558/x
  3. Step 3: Cross multiply
    201,718x = 434,558 × 434,558
  4. Step 4: Simplify right side
    201,718x = 188,840,655,364
  5. Step 5: Solve for x
    x = 188,840,655,364/201,718
  6. Step 6: Final answer
    x = 936,161.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.