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Finding the Third Proportional to 190,339 and 405,373

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Solution

The third proportional to 190,339 and 405,373 is: 863,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,339 : 405,373 = 405,373 : x
  2. Step 2: Convert to fraction form
    190,339/405,373 = 405,373/x
  3. Step 3: Cross multiply
    190,339x = 405,373 × 405,373
  4. Step 4: Simplify right side
    190,339x = 164,327,269,129
  5. Step 5: Solve for x
    x = 164,327,269,129/190,339
  6. Step 6: Final answer
    x = 863,339.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.