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Finding the Third Proportional to 192,132 and 287,124.75

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Solution

The third proportional to 192,132 and 287,124.75 is: 429,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,132 : 287,124.75 = 287,124.75 : x
  2. Step 2: Convert to fraction form
    192,132/287,124.75 = 287,124.75/x
  3. Step 3: Cross multiply
    192,132x = 287,124.75 × 287,124.75
  4. Step 4: Simplify right side
    192,132x = 82,440,622,062.56
  5. Step 5: Solve for x
    x = 82,440,622,062.56/192,132
  6. Step 6: Final answer
    x = 429,083.25

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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.