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Finding the Third Proportional to 13,270 and 20,536

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Solution

The third proportional to 13,270 and 20,536 is: 31,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270 : 20,536 = 20,536 : x
  2. Step 2: Convert to fraction form
    13,270/20,536 = 20,536/x
  3. Step 3: Cross multiply
    13,270x = 20,536 × 20,536
  4. Step 4: Simplify right side
    13,270x = 421,727,296
  5. Step 5: Solve for x
    x = 421,727,296/13,270
  6. Step 6: Final answer
    x = 31,780.50

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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.