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Finding the Third Proportional to 382,768 and 894,036

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Solution

The third proportional to 382,768 and 894,036 is: 2,088,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,768 : 894,036 = 894,036 : x
  2. Step 2: Convert to fraction form
    382,768/894,036 = 894,036/x
  3. Step 3: Cross multiply
    382,768x = 894,036 × 894,036
  4. Step 4: Simplify right side
    382,768x = 799,300,369,296
  5. Step 5: Solve for x
    x = 799,300,369,296/382,768
  6. Step 6: Final answer
    x = 2,088,211.06

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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.