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Finding the Third Proportional to 13,295 and 20,573

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Solution

The third proportional to 13,295 and 20,573 is: 31,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295 : 20,573 = 20,573 : x
  2. Step 2: Convert to fraction form
    13,295/20,573 = 20,573/x
  3. Step 3: Cross multiply
    13,295x = 20,573 × 20,573
  4. Step 4: Simplify right side
    13,295x = 423,248,329
  5. Step 5: Solve for x
    x = 423,248,329/13,295
  6. Step 6: Final answer
    x = 31,835.15

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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.