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Finding the Third Proportional to 18,816.50 and 40,571

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Solution

The third proportional to 18,816.50 and 40,571 is: 87,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,816.50 : 40,571 = 40,571 : x
  2. Step 2: Convert to fraction form
    18,816.50/40,571 = 40,571/x
  3. Step 3: Cross multiply
    18,816.50x = 40,571 × 40,571
  4. Step 4: Simplify right side
    18,816.50x = 1,646,006,041
  5. Step 5: Solve for x
    x = 1,646,006,041/18,816.50
  6. Step 6: Final answer
    x = 87,476.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.