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Finding the Third Proportional to 30,168.75 and 39,672.75

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Solution

The third proportional to 30,168.75 and 39,672.75 is: 52,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168.75 : 39,672.75 = 39,672.75 : x
  2. Step 2: Convert to fraction form
    30,168.75/39,672.75 = 39,672.75/x
  3. Step 3: Cross multiply
    30,168.75x = 39,672.75 × 39,672.75
  4. Step 4: Simplify right side
    30,168.75x = 1,573,927,092.56
  5. Step 5: Solve for x
    x = 1,573,927,092.56/30,168.75
  6. Step 6: Final answer
    x = 52,170.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.