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Finding the Third Proportional to 207,938 and 405,364

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Solution

The third proportional to 207,938 and 405,364 is: 790,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,938 : 405,364 = 405,364 : x
  2. Step 2: Convert to fraction form
    207,938/405,364 = 405,364/x
  3. Step 3: Cross multiply
    207,938x = 405,364 × 405,364
  4. Step 4: Simplify right side
    207,938x = 164,319,972,496
  5. Step 5: Solve for x
    x = 164,319,972,496/207,938
  6. Step 6: Final answer
    x = 790,235.42

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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.