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Finding the Third Proportional to 128,991 and 195,434

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Solution

The third proportional to 128,991 and 195,434 is: 296,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,991 : 195,434 = 195,434 : x
  2. Step 2: Convert to fraction form
    128,991/195,434 = 195,434/x
  3. Step 3: Cross multiply
    128,991x = 195,434 × 195,434
  4. Step 4: Simplify right side
    128,991x = 38,194,448,356
  5. Step 5: Solve for x
    x = 38,194,448,356/128,991
  6. Step 6: Final answer
    x = 296,101.65

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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.