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Finding the Third Proportional to 13,694 and 20,053

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Solution

The third proportional to 13,694 and 20,053 is: 29,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694 : 20,053 = 20,053 : x
  2. Step 2: Convert to fraction form
    13,694/20,053 = 20,053/x
  3. Step 3: Cross multiply
    13,694x = 20,053 × 20,053
  4. Step 4: Simplify right side
    13,694x = 402,122,809
  5. Step 5: Solve for x
    x = 402,122,809/13,694
  6. Step 6: Final answer
    x = 29,364.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.