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Finding the Third Proportional to 197,310 and 434,836

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Solution

The third proportional to 197,310 and 434,836 is: 958,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,310 : 434,836 = 434,836 : x
  2. Step 2: Convert to fraction form
    197,310/434,836 = 434,836/x
  3. Step 3: Cross multiply
    197,310x = 434,836 × 434,836
  4. Step 4: Simplify right side
    197,310x = 189,082,346,896
  5. Step 5: Solve for x
    x = 189,082,346,896/197,310
  6. Step 6: Final answer
    x = 958,300.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.