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Finding the Third Proportional to 394,560 and 856,152

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Solution

The third proportional to 394,560 and 856,152 is: 1,857,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,560 : 856,152 = 856,152 : x
  2. Step 2: Convert to fraction form
    394,560/856,152 = 856,152/x
  3. Step 3: Cross multiply
    394,560x = 856,152 × 856,152
  4. Step 4: Simplify right side
    394,560x = 732,996,247,104
  5. Step 5: Solve for x
    x = 732,996,247,104/394,560
  6. Step 6: Final answer
    x = 1,857,756.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.