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Finding the Third Proportional to 194,140 and 397,690

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Solution

The third proportional to 194,140 and 397,690 is: 814,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,140 : 397,690 = 397,690 : x
  2. Step 2: Convert to fraction form
    194,140/397,690 = 397,690/x
  3. Step 3: Cross multiply
    194,140x = 397,690 × 397,690
  4. Step 4: Simplify right side
    194,140x = 158,157,336,100
  5. Step 5: Solve for x
    x = 158,157,336,100/194,140
  6. Step 6: Final answer
    x = 814,656.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.