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Finding the Third Proportional to 128,396 and 192,982

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Solution

The third proportional to 128,396 and 192,982 is: 290,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,396 : 192,982 = 192,982 : x
  2. Step 2: Convert to fraction form
    128,396/192,982 = 192,982/x
  3. Step 3: Cross multiply
    128,396x = 192,982 × 192,982
  4. Step 4: Simplify right side
    128,396x = 37,242,052,324
  5. Step 5: Solve for x
    x = 37,242,052,324/128,396
  6. Step 6: Final answer
    x = 290,056.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.