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Finding the Third Proportional to 209,731.50 and 327,020.63

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Solution

The third proportional to 209,731.50 and 327,020.63 is: 509,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,731.50 : 327,020.63 = 327,020.63 : x
  2. Step 2: Convert to fraction form
    209,731.50/327,020.63 = 327,020.63/x
  3. Step 3: Cross multiply
    209,731.50x = 327,020.63 × 327,020.63
  4. Step 4: Simplify right side
    209,731.50x = 106,942,489,175.39
  5. Step 5: Solve for x
    x = 106,942,489,175.39/209,731.50
  6. Step 6: Final answer
    x = 509,901.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.