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Finding the Third Proportional to 133,399.41 and 205,638.75

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Solution

The third proportional to 133,399.41 and 205,638.75 is: 316,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,399.41 : 205,638.75 = 205,638.75 : x
  2. Step 2: Convert to fraction form
    133,399.41/205,638.75 = 205,638.75/x
  3. Step 3: Cross multiply
    133,399.41x = 205,638.75 × 205,638.75
  4. Step 4: Simplify right side
    133,399.41x = 42,287,295,501.56
  5. Step 5: Solve for x
    x = 42,287,295,501.56/133,399.41
  6. Step 6: Final answer
    x = 316,997.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.