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Finding the Third Proportional to 412,116 and 868,512

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Solution

The third proportional to 412,116 and 868,512 is: 1,830,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,116 : 868,512 = 868,512 : x
  2. Step 2: Convert to fraction form
    412,116/868,512 = 868,512/x
  3. Step 3: Cross multiply
    412,116x = 868,512 × 868,512
  4. Step 4: Simplify right side
    412,116x = 754,313,094,144
  5. Step 5: Solve for x
    x = 754,313,094,144/412,116
  6. Step 6: Final answer
    x = 1,830,341.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.