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Finding the Third Proportional to 128,845.13 and 194,679

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Solution

The third proportional to 128,845.13 and 194,679 is: 294,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,845.13 : 194,679 = 194,679 : x
  2. Step 2: Convert to fraction form
    128,845.13/194,679 = 194,679/x
  3. Step 3: Cross multiply
    128,845.13x = 194,679 × 194,679
  4. Step 4: Simplify right side
    128,845.13x = 37,899,913,041
  5. Step 5: Solve for x
    x = 37,899,913,041/128,845.13
  6. Step 6: Final answer
    x = 294,150.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.