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Finding the Third Proportional to 388,232 and 823,120

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Solution

The third proportional to 388,232 and 823,120 is: 1,745,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,232 : 823,120 = 823,120 : x
  2. Step 2: Convert to fraction form
    388,232/823,120 = 823,120/x
  3. Step 3: Cross multiply
    388,232x = 823,120 × 823,120
  4. Step 4: Simplify right side
    388,232x = 677,526,534,400
  5. Step 5: Solve for x
    x = 677,526,534,400/388,232
  6. Step 6: Final answer
    x = 1,745,158.91

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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.