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Finding the Third Proportional to 407,810 and 878,116

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Solution

The third proportional to 407,810 and 878,116 is: 1,890,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,810 : 878,116 = 878,116 : x
  2. Step 2: Convert to fraction form
    407,810/878,116 = 878,116/x
  3. Step 3: Cross multiply
    407,810x = 878,116 × 878,116
  4. Step 4: Simplify right side
    407,810x = 771,087,709,456
  5. Step 5: Solve for x
    x = 771,087,709,456/407,810
  6. Step 6: Final answer
    x = 1,890,801.38

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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.