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Finding the Third Proportional to 407,812 and 878,120

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Solution

The third proportional to 407,812 and 878,120 is: 1,890,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812 : 878,120 = 878,120 : x
  2. Step 2: Convert to fraction form
    407,812/878,120 = 878,120/x
  3. Step 3: Cross multiply
    407,812x = 878,120 × 878,120
  4. Step 4: Simplify right side
    407,812x = 771,094,734,400
  5. Step 5: Solve for x
    x = 771,094,734,400/407,812
  6. Step 6: Final answer
    x = 1,890,809.33

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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.