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Finding the Third Proportional to 395,072 and 851,920

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Solution

The third proportional to 395,072 and 851,920 is: 1,837,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,072 : 851,920 = 851,920 : x
  2. Step 2: Convert to fraction form
    395,072/851,920 = 851,920/x
  3. Step 3: Cross multiply
    395,072x = 851,920 × 851,920
  4. Step 4: Simplify right side
    395,072x = 725,767,686,400
  5. Step 5: Solve for x
    x = 725,767,686,400/395,072
  6. Step 6: Final answer
    x = 1,837,051.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.