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Finding the Third Proportional to 403,738 and 876,162

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Solution

The third proportional to 403,738 and 876,162 is: 1,901,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,738 : 876,162 = 876,162 : x
  2. Step 2: Convert to fraction form
    403,738/876,162 = 876,162/x
  3. Step 3: Cross multiply
    403,738x = 876,162 × 876,162
  4. Step 4: Simplify right side
    403,738x = 767,659,850,244
  5. Step 5: Solve for x
    x = 767,659,850,244/403,738
  6. Step 6: Final answer
    x = 1,901,381.22

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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.