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Finding the Third Proportional to 197,408 and 402,144

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Solution

The third proportional to 197,408 and 402,144 is: 819,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,408 : 402,144 = 402,144 : x
  2. Step 2: Convert to fraction form
    197,408/402,144 = 402,144/x
  3. Step 3: Cross multiply
    197,408x = 402,144 × 402,144
  4. Step 4: Simplify right side
    197,408x = 161,719,796,736
  5. Step 5: Solve for x
    x = 161,719,796,736/197,408
  6. Step 6: Final answer
    x = 819,216.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.