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Finding the Third Proportional to 131,289.75 and 208,416.75

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Solution

The third proportional to 131,289.75 and 208,416.75 is: 330,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,289.75 : 208,416.75 = 208,416.75 : x
  2. Step 2: Convert to fraction form
    131,289.75/208,416.75 = 208,416.75/x
  3. Step 3: Cross multiply
    131,289.75x = 208,416.75 × 208,416.75
  4. Step 4: Simplify right side
    131,289.75x = 43,437,541,680.56
  5. Step 5: Solve for x
    x = 43,437,541,680.56/131,289.75
  6. Step 6: Final answer
    x = 330,852.50

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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.