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Finding the Third Proportional to 471,879 and 1,022,476.50

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Solution

The third proportional to 471,879 and 1,022,476.50 is: 2,215,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,879 : 1,022,476.50 = 1,022,476.50 : x
  2. Step 2: Convert to fraction form
    471,879/1,022,476.50 = 1,022,476.50/x
  3. Step 3: Cross multiply
    471,879x = 1,022,476.50 × 1,022,476.50
  4. Step 4: Simplify right side
    471,879x = 1,045,458,193,052.25
  5. Step 5: Solve for x
    x = 1,045,458,193,052.25/471,879
  6. Step 6: Final answer
    x = 2,215,521.76

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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.