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Finding the Third Proportional to 208,622 and 427,160

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Solution

The third proportional to 208,622 and 427,160 is: 874,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622 : 427,160 = 427,160 : x
  2. Step 2: Convert to fraction form
    208,622/427,160 = 427,160/x
  3. Step 3: Cross multiply
    208,622x = 427,160 × 427,160
  4. Step 4: Simplify right side
    208,622x = 182,465,665,600
  5. Step 5: Solve for x
    x = 182,465,665,600/208,622
  6. Step 6: Final answer
    x = 874,623.32

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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.