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Finding the Third Proportional to 133,780 and 289,976

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Solution

The third proportional to 133,780 and 289,976 is: 628,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780 : 289,976 = 289,976 : x
  2. Step 2: Convert to fraction form
    133,780/289,976 = 289,976/x
  3. Step 3: Cross multiply
    133,780x = 289,976 × 289,976
  4. Step 4: Simplify right side
    133,780x = 84,086,080,576
  5. Step 5: Solve for x
    x = 84,086,080,576/133,780
  6. Step 6: Final answer
    x = 628,540.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.