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Finding the Third Proportional to 211,917.38 and 317,876.63

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Solution

The third proportional to 211,917.38 and 317,876.63 is: 476,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,917.38 : 317,876.63 = 317,876.63 : x
  2. Step 2: Convert to fraction form
    211,917.38/317,876.63 = 317,876.63/x
  3. Step 3: Cross multiply
    211,917.38x = 317,876.63 × 317,876.63
  4. Step 4: Simplify right side
    211,917.38x = 101,045,548,721.39
  5. Step 5: Solve for x
    x = 101,045,548,721.39/211,917.38
  6. Step 6: Final answer
    x = 476,815.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.