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Finding the Third Proportional to 208,624 and 427,164

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Solution

The third proportional to 208,624 and 427,164 is: 874,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,624 : 427,164 = 427,164 : x
  2. Step 2: Convert to fraction form
    208,624/427,164 = 427,164/x
  3. Step 3: Cross multiply
    208,624x = 427,164 × 427,164
  4. Step 4: Simplify right side
    208,624x = 182,469,082,896
  5. Step 5: Solve for x
    x = 182,469,082,896/208,624
  6. Step 6: Final answer
    x = 874,631.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.