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Finding the Third Proportional to 304,953.75 and 644,238.75

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Solution

The third proportional to 304,953.75 and 644,238.75 is: 1,361,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,953.75 : 644,238.75 = 644,238.75 : x
  2. Step 2: Convert to fraction form
    304,953.75/644,238.75 = 644,238.75/x
  3. Step 3: Cross multiply
    304,953.75x = 644,238.75 × 644,238.75
  4. Step 4: Simplify right side
    304,953.75x = 415,043,567,001.56
  5. Step 5: Solve for x
    x = 415,043,567,001.56/304,953.75
  6. Step 6: Final answer
    x = 1,361,004.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.