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Finding the Third Proportional to 18,664 and 38,576

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Solution

The third proportional to 18,664 and 38,576 is: 79,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 38,576 = 38,576 : x
  2. Step 2: Convert to fraction form
    18,664/38,576 = 38,576/x
  3. Step 3: Cross multiply
    18,664x = 38,576 × 38,576
  4. Step 4: Simplify right side
    18,664x = 1,488,107,776
  5. Step 5: Solve for x
    x = 1,488,107,776/18,664
  6. Step 6: Final answer
    x = 79,731.45

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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.