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Finding the Third Proportional to 208,010 and 405,652

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Solution

The third proportional to 208,010 and 405,652 is: 791,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010 : 405,652 = 405,652 : x
  2. Step 2: Convert to fraction form
    208,010/405,652 = 405,652/x
  3. Step 3: Cross multiply
    208,010x = 405,652 × 405,652
  4. Step 4: Simplify right side
    208,010x = 164,553,545,104
  5. Step 5: Solve for x
    x = 164,553,545,104/208,010
  6. Step 6: Final answer
    x = 791,084.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.