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Finding the Third Proportional to 8,510.38 and 18,635.63

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Solution

The third proportional to 8,510.38 and 18,635.63 is: 40,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.38 : 18,635.63 = 18,635.63 : x
  2. Step 2: Convert to fraction form
    8,510.38/18,635.63 = 18,635.63/x
  3. Step 3: Cross multiply
    8,510.38x = 18,635.63 × 18,635.63
  4. Step 4: Simplify right side
    8,510.38x = 347,286,519.14
  5. Step 5: Solve for x
    x = 347,286,519.14/8,510.38
  6. Step 6: Final answer
    x = 40,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.