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Finding the Third Proportional to 128,580 and 192,105

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Solution

The third proportional to 128,580 and 192,105 is: 287,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580 : 192,105 = 192,105 : x
  2. Step 2: Convert to fraction form
    128,580/192,105 = 192,105/x
  3. Step 3: Cross multiply
    128,580x = 192,105 × 192,105
  4. Step 4: Simplify right side
    128,580x = 36,904,331,025
  5. Step 5: Solve for x
    x = 36,904,331,025/128,580
  6. Step 6: Final answer
    x = 287,014.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.