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Finding the Third Proportional to 13,630 and 21,745

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Solution

The third proportional to 13,630 and 21,745 is: 34,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630 : 21,745 = 21,745 : x
  2. Step 2: Convert to fraction form
    13,630/21,745 = 21,745/x
  3. Step 3: Cross multiply
    13,630x = 21,745 × 21,745
  4. Step 4: Simplify right side
    13,630x = 472,845,025
  5. Step 5: Solve for x
    x = 472,845,025/13,630
  6. Step 6: Final answer
    x = 34,691.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.