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Finding the Third Proportional to 201,729 and 434,580

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Solution

The third proportional to 201,729 and 434,580 is: 936,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,729 : 434,580 = 434,580 : x
  2. Step 2: Convert to fraction form
    201,729/434,580 = 434,580/x
  3. Step 3: Cross multiply
    201,729x = 434,580 × 434,580
  4. Step 4: Simplify right side
    201,729x = 188,859,776,400
  5. Step 5: Solve for x
    x = 188,859,776,400/201,729
  6. Step 6: Final answer
    x = 936,205.39

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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.