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Finding the Third Proportional to 188,946 and 399,216

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Solution

The third proportional to 188,946 and 399,216 is: 843,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,946 : 399,216 = 399,216 : x
  2. Step 2: Convert to fraction form
    188,946/399,216 = 399,216/x
  3. Step 3: Cross multiply
    188,946x = 399,216 × 399,216
  4. Step 4: Simplify right side
    188,946x = 159,373,414,656
  5. Step 5: Solve for x
    x = 159,373,414,656/188,946
  6. Step 6: Final answer
    x = 843,486.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.