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Finding the Third Proportional to 133,080 and 296,192

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Solution

The third proportional to 133,080 and 296,192 is: 659,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080 : 296,192 = 296,192 : x
  2. Step 2: Convert to fraction form
    133,080/296,192 = 296,192/x
  3. Step 3: Cross multiply
    133,080x = 296,192 × 296,192
  4. Step 4: Simplify right side
    133,080x = 87,729,700,864
  5. Step 5: Solve for x
    x = 87,729,700,864/133,080
  6. Step 6: Final answer
    x = 659,225.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.