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Finding the Third Proportional to 18,285.75 and 19,672.88

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Solution

The third proportional to 18,285.75 and 19,672.88 is: 21,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.75 : 19,672.88 = 19,672.88 : x
  2. Step 2: Convert to fraction form
    18,285.75/19,672.88 = 19,672.88/x
  3. Step 3: Cross multiply
    18,285.75x = 19,672.88 × 19,672.88
  4. Step 4: Simplify right side
    18,285.75x = 387,022,010.77
  5. Step 5: Solve for x
    x = 387,022,010.77/18,285.75
  6. Step 6: Final answer
    x = 21,165.22

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.