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Finding the Third Proportional to 186,934 and 405,420

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Solution

The third proportional to 186,934 and 405,420 is: 879,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,934 : 405,420 = 405,420 : x
  2. Step 2: Convert to fraction form
    186,934/405,420 = 405,420/x
  3. Step 3: Cross multiply
    186,934x = 405,420 × 405,420
  4. Step 4: Simplify right side
    186,934x = 164,365,376,400
  5. Step 5: Solve for x
    x = 164,365,376,400/186,934
  6. Step 6: Final answer
    x = 879,269.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.