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Finding the Third Proportional to 4,092 and 8,487.75

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Solution

The third proportional to 4,092 and 8,487.75 is: 17,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 8,487.75 = 8,487.75 : x
  2. Step 2: Convert to fraction form
    4,092/8,487.75 = 8,487.75/x
  3. Step 3: Cross multiply
    4,092x = 8,487.75 × 8,487.75
  4. Step 4: Simplify right side
    4,092x = 72,041,900.06
  5. Step 5: Solve for x
    x = 72,041,900.06/4,092
  6. Step 6: Final answer
    x = 17,605.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.