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Finding the Third Proportional to 407,815 and 878,126

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Solution

The third proportional to 407,815 and 878,126 is: 1,890,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,815 : 878,126 = 878,126 : x
  2. Step 2: Convert to fraction form
    407,815/878,126 = 878,126/x
  3. Step 3: Cross multiply
    407,815x = 878,126 × 878,126
  4. Step 4: Simplify right side
    407,815x = 771,105,271,876
  5. Step 5: Solve for x
    x = 771,105,271,876/407,815
  6. Step 6: Final answer
    x = 1,890,821.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.