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Finding the Third Proportional to 133,124 and 289,576

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Solution

The third proportional to 133,124 and 289,576 is: 629,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,124 : 289,576 = 289,576 : x
  2. Step 2: Convert to fraction form
    133,124/289,576 = 289,576/x
  3. Step 3: Cross multiply
    133,124x = 289,576 × 289,576
  4. Step 4: Simplify right side
    133,124x = 83,854,259,776
  5. Step 5: Solve for x
    x = 83,854,259,776/133,124
  6. Step 6: Final answer
    x = 629,895.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.