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Finding the Third Proportional to 13,780.13 and 21,103.03

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Solution

The third proportional to 13,780.13 and 21,103.03 is: 32,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 21,103.03 = 21,103.03 : x
  2. Step 2: Convert to fraction form
    13,780.13/21,103.03 = 21,103.03/x
  3. Step 3: Cross multiply
    13,780.13x = 21,103.03 × 21,103.03
  4. Step 4: Simplify right side
    13,780.13x = 445,337,927.94
  5. Step 5: Solve for x
    x = 445,337,927.94/13,780.13
  6. Step 6: Final answer
    x = 32,317.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.