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Finding the Third Proportional to 197,980 and 426,596

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Solution

The third proportional to 197,980 and 426,596 is: 919,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,980 : 426,596 = 426,596 : x
  2. Step 2: Convert to fraction form
    197,980/426,596 = 426,596/x
  3. Step 3: Cross multiply
    197,980x = 426,596 × 426,596
  4. Step 4: Simplify right side
    197,980x = 181,984,147,216
  5. Step 5: Solve for x
    x = 181,984,147,216/197,980
  6. Step 6: Final answer
    x = 919,204.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.