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Finding the Third Proportional to 407,811 and 878,118

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Solution

The third proportional to 407,811 and 878,118 is: 1,890,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,811 : 878,118 = 878,118 : x
  2. Step 2: Convert to fraction form
    407,811/878,118 = 878,118/x
  3. Step 3: Cross multiply
    407,811x = 878,118 × 878,118
  4. Step 4: Simplify right side
    407,811x = 771,091,221,924
  5. Step 5: Solve for x
    x = 771,091,221,924/407,811
  6. Step 6: Final answer
    x = 1,890,805.35

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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.