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Finding the Third Proportional to 20,742.75 and 27,199.13

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Solution

The third proportional to 20,742.75 and 27,199.13 is: 35,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.75 : 27,199.13 = 27,199.13 : x
  2. Step 2: Convert to fraction form
    20,742.75/27,199.13 = 27,199.13/x
  3. Step 3: Cross multiply
    20,742.75x = 27,199.13 × 27,199.13
  4. Step 4: Simplify right side
    20,742.75x = 739,792,400.77
  5. Step 5: Solve for x
    x = 739,792,400.77/20,742.75
  6. Step 6: Final answer
    x = 35,665.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.