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Finding the Third Proportional to 131,301.75 and 208,434.75

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Solution

The third proportional to 131,301.75 and 208,434.75 is: 330,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301.75 : 208,434.75 = 208,434.75 : x
  2. Step 2: Convert to fraction form
    131,301.75/208,434.75 = 208,434.75/x
  3. Step 3: Cross multiply
    131,301.75x = 208,434.75 × 208,434.75
  4. Step 4: Simplify right side
    131,301.75x = 43,445,045,007.56
  5. Step 5: Solve for x
    x = 43,445,045,007.56/131,301.75
  6. Step 6: Final answer
    x = 330,879.41

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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.