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Finding the Third Proportional to 13,297 and 20,576

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Solution

The third proportional to 13,297 and 20,576 is: 31,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297 : 20,576 = 20,576 : x
  2. Step 2: Convert to fraction form
    13,297/20,576 = 20,576/x
  3. Step 3: Cross multiply
    13,297x = 20,576 × 20,576
  4. Step 4: Simplify right side
    13,297x = 423,371,776
  5. Step 5: Solve for x
    x = 423,371,776/13,297
  6. Step 6: Final answer
    x = 31,839.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.