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Finding the Third Proportional to 208,013 and 405,658

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Solution

The third proportional to 208,013 and 405,658 is: 791,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,013 : 405,658 = 405,658 : x
  2. Step 2: Convert to fraction form
    208,013/405,658 = 405,658/x
  3. Step 3: Cross multiply
    208,013x = 405,658 × 405,658
  4. Step 4: Simplify right side
    208,013x = 164,558,412,964
  5. Step 5: Solve for x
    x = 164,558,412,964/208,013
  6. Step 6: Final answer
    x = 791,096.77

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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.