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Finding the Third Proportional to 128,671.88 and 195,194.81

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Solution

The third proportional to 128,671.88 and 195,194.81 is: 296,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,671.88 : 195,194.81 = 195,194.81 : x
  2. Step 2: Convert to fraction form
    128,671.88/195,194.81 = 195,194.81/x
  3. Step 3: Cross multiply
    128,671.88x = 195,194.81 × 195,194.81
  4. Step 4: Simplify right side
    128,671.88x = 38,101,014,826.91
  5. Step 5: Solve for x
    x = 38,101,014,826.91/128,671.88
  6. Step 6: Final answer
    x = 296,109.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.