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Finding the Third Proportional to 412,120.27 and 878,675.91

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Solution

The third proportional to 412,120.27 and 878,675.91 is: 1,873,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,120.27 : 878,675.91 = 878,675.91 : x
  2. Step 2: Convert to fraction form
    412,120.27/878,675.91 = 878,675.91/x
  3. Step 3: Cross multiply
    412,120.27x = 878,675.91 × 878,675.91
  4. Step 4: Simplify right side
    412,120.27x = 772,071,348,224.26
  5. Step 5: Solve for x
    x = 772,071,348,224.26/412,120.27
  6. Step 6: Final answer
    x = 1,873,412.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.