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Finding the Third Proportional to 252,546 and 420,858

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Solution

The third proportional to 252,546 and 420,858 is: 701,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,546 : 420,858 = 420,858 : x
  2. Step 2: Convert to fraction form
    252,546/420,858 = 420,858/x
  3. Step 3: Cross multiply
    252,546x = 420,858 × 420,858
  4. Step 4: Simplify right side
    252,546x = 177,121,456,164
  5. Step 5: Solve for x
    x = 177,121,456,164/252,546
  6. Step 6: Final answer
    x = 701,343.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.