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Finding the Third Proportional to 55,273.50 and 129,930.75

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Solution

The third proportional to 55,273.50 and 129,930.75 is: 305,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,273.50 : 129,930.75 = 129,930.75 : x
  2. Step 2: Convert to fraction form
    55,273.50/129,930.75 = 129,930.75/x
  3. Step 3: Cross multiply
    55,273.50x = 129,930.75 × 129,930.75
  4. Step 4: Simplify right side
    55,273.50x = 16,881,999,795.56
  5. Step 5: Solve for x
    x = 16,881,999,795.56/55,273.50
  6. Step 6: Final answer
    x = 305,426.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.