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Finding the Third Proportional to 13,817 and 31,703

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Solution

The third proportional to 13,817 and 31,703 is: 72,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817 : 31,703 = 31,703 : x
  2. Step 2: Convert to fraction form
    13,817/31,703 = 31,703/x
  3. Step 3: Cross multiply
    13,817x = 31,703 × 31,703
  4. Step 4: Simplify right side
    13,817x = 1,005,080,209
  5. Step 5: Solve for x
    x = 1,005,080,209/13,817
  6. Step 6: Final answer
    x = 72,742.29

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.