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Finding the Third Proportional to 388,230 and 823,110

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Solution

The third proportional to 388,230 and 823,110 is: 1,745,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,230 : 823,110 = 823,110 : x
  2. Step 2: Convert to fraction form
    388,230/823,110 = 823,110/x
  3. Step 3: Cross multiply
    388,230x = 823,110 × 823,110
  4. Step 4: Simplify right side
    388,230x = 677,510,072,100
  5. Step 5: Solve for x
    x = 677,510,072,100/388,230
  6. Step 6: Final answer
    x = 1,745,125.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.