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Finding the Third Proportional to 187,923 and 287,838

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Solution

The third proportional to 187,923 and 287,838 is: 440,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,923 : 287,838 = 287,838 : x
  2. Step 2: Convert to fraction form
    187,923/287,838 = 287,838/x
  3. Step 3: Cross multiply
    187,923x = 287,838 × 287,838
  4. Step 4: Simplify right side
    187,923x = 82,850,714,244
  5. Step 5: Solve for x
    x = 82,850,714,244/187,923
  6. Step 6: Final answer
    x = 440,875.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.