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Finding the Third Proportional to 133,983.50 and 278,992.63

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Solution

The third proportional to 133,983.50 and 278,992.63 is: 580,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,983.50 : 278,992.63 = 278,992.63 : x
  2. Step 2: Convert to fraction form
    133,983.50/278,992.63 = 278,992.63/x
  3. Step 3: Cross multiply
    133,983.50x = 278,992.63 × 278,992.63
  4. Step 4: Simplify right side
    133,983.50x = 77,836,884,804.39
  5. Step 5: Solve for x
    x = 77,836,884,804.39/133,983.50
  6. Step 6: Final answer
    x = 580,943.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.