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Finding the Third Proportional to 128,862 and 196,028

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Solution

The third proportional to 128,862 and 196,028 is: 298,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,862 : 196,028 = 196,028 : x
  2. Step 2: Convert to fraction form
    128,862/196,028 = 196,028/x
  3. Step 3: Cross multiply
    128,862x = 196,028 × 196,028
  4. Step 4: Simplify right side
    128,862x = 38,426,976,784
  5. Step 5: Solve for x
    x = 38,426,976,784/128,862
  6. Step 6: Final answer
    x = 298,202.55

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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.