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Finding the Third Proportional to 20,603.25 and 27,987.75

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Solution

The third proportional to 20,603.25 and 27,987.75 is: 38,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.25 : 27,987.75 = 27,987.75 : x
  2. Step 2: Convert to fraction form
    20,603.25/27,987.75 = 27,987.75/x
  3. Step 3: Cross multiply
    20,603.25x = 27,987.75 × 27,987.75
  4. Step 4: Simplify right side
    20,603.25x = 783,314,150.06
  5. Step 5: Solve for x
    x = 783,314,150.06/20,603.25
  6. Step 6: Final answer
    x = 38,018.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.