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Finding the Third Proportional to 128,398.50 and 192,987

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Solution

The third proportional to 128,398.50 and 192,987 is: 290,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,398.50 : 192,987 = 192,987 : x
  2. Step 2: Convert to fraction form
    128,398.50/192,987 = 192,987/x
  3. Step 3: Cross multiply
    128,398.50x = 192,987 × 192,987
  4. Step 4: Simplify right side
    128,398.50x = 37,243,982,169
  5. Step 5: Solve for x
    x = 37,243,982,169/128,398.50
  6. Step 6: Final answer
    x = 290,065.56

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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.