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Finding the Third Proportional to 412,345 and 878,690

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Solution

The third proportional to 412,345 and 878,690 is: 1,872,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,345 : 878,690 = 878,690 : x
  2. Step 2: Convert to fraction form
    412,345/878,690 = 878,690/x
  3. Step 3: Cross multiply
    412,345x = 878,690 × 878,690
  4. Step 4: Simplify right side
    412,345x = 772,096,116,100
  5. Step 5: Solve for x
    x = 772,096,116,100/412,345
  6. Step 6: Final answer
    x = 1,872,451.75

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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.