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Finding the Third Proportional to 390,400 and 852,192

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Solution

The third proportional to 390,400 and 852,192 is: 1,860,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,400 : 852,192 = 852,192 : x
  2. Step 2: Convert to fraction form
    390,400/852,192 = 852,192/x
  3. Step 3: Cross multiply
    390,400x = 852,192 × 852,192
  4. Step 4: Simplify right side
    390,400x = 726,231,204,864
  5. Step 5: Solve for x
    x = 726,231,204,864/390,400
  6. Step 6: Final answer
    x = 1,860,223.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.