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Finding the Third Proportional to 163,586 and 334,052

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Solution

The third proportional to 163,586 and 334,052 is: 682,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,586 : 334,052 = 334,052 : x
  2. Step 2: Convert to fraction form
    163,586/334,052 = 334,052/x
  3. Step 3: Cross multiply
    163,586x = 334,052 × 334,052
  4. Step 4: Simplify right side
    163,586x = 111,590,738,704
  5. Step 5: Solve for x
    x = 111,590,738,704/163,586
  6. Step 6: Final answer
    x = 682,153.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.