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Finding the Third Proportional to 188,502 and 398,820

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Solution

The third proportional to 188,502 and 398,820 is: 843,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,502 : 398,820 = 398,820 : x
  2. Step 2: Convert to fraction form
    188,502/398,820 = 398,820/x
  3. Step 3: Cross multiply
    188,502x = 398,820 × 398,820
  4. Step 4: Simplify right side
    188,502x = 159,057,392,400
  5. Step 5: Solve for x
    x = 159,057,392,400/188,502
  6. Step 6: Final answer
    x = 843,796.84

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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.