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Finding the Third Proportional to 100,031.63 and 177,879.38

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Solution

The third proportional to 100,031.63 and 177,879.38 is: 316,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,031.63 : 177,879.38 = 177,879.38 : x
  2. Step 2: Convert to fraction form
    100,031.63/177,879.38 = 177,879.38/x
  3. Step 3: Cross multiply
    100,031.63x = 177,879.38 × 177,879.38
  4. Step 4: Simplify right side
    100,031.63x = 31,641,072,050.39
  5. Step 5: Solve for x
    x = 31,641,072,050.39/100,031.63
  6. Step 6: Final answer
    x = 316,310.69

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.