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Finding the Third Proportional to 382,770 and 894,042

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Solution

The third proportional to 382,770 and 894,042 is: 2,088,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,770 : 894,042 = 894,042 : x
  2. Step 2: Convert to fraction form
    382,770/894,042 = 894,042/x
  3. Step 3: Cross multiply
    382,770x = 894,042 × 894,042
  4. Step 4: Simplify right side
    382,770x = 799,311,097,764
  5. Step 5: Solve for x
    x = 799,311,097,764/382,770
  6. Step 6: Final answer
    x = 2,088,228.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.