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Finding the Third Proportional to 134,100.56 and 185,910.19

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Solution

The third proportional to 134,100.56 and 185,910.19 is: 257,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,100.56 : 185,910.19 = 185,910.19 : x
  2. Step 2: Convert to fraction form
    134,100.56/185,910.19 = 185,910.19/x
  3. Step 3: Cross multiply
    134,100.56x = 185,910.19 × 185,910.19
  4. Step 4: Simplify right side
    134,100.56x = 34,562,597,816.29
  5. Step 5: Solve for x
    x = 34,562,597,816.29/134,100.56
  6. Step 6: Final answer
    x = 257,736.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.