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Finding the Third Proportional to 133,125.75 and 290,814.75

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Solution

The third proportional to 133,125.75 and 290,814.75 is: 635,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,125.75 : 290,814.75 = 290,814.75 : x
  2. Step 2: Convert to fraction form
    133,125.75/290,814.75 = 290,814.75/x
  3. Step 3: Cross multiply
    133,125.75x = 290,814.75 × 290,814.75
  4. Step 4: Simplify right side
    133,125.75x = 84,573,218,817.56
  5. Step 5: Solve for x
    x = 84,573,218,817.56/133,125.75
  6. Step 6: Final answer
    x = 635,288.21

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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.