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Finding the Third Proportional to 131,295.75 and 208,425

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Solution

The third proportional to 131,295.75 and 208,425 is: 330,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,295.75 : 208,425 = 208,425 : x
  2. Step 2: Convert to fraction form
    131,295.75/208,425 = 208,425/x
  3. Step 3: Cross multiply
    131,295.75x = 208,425 × 208,425
  4. Step 4: Simplify right side
    131,295.75x = 43,440,980,625
  5. Step 5: Solve for x
    x = 43,440,980,625/131,295.75
  6. Step 6: Final answer
    x = 330,863.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.