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Finding the Third Proportional to 11,820.75 and 18,302.25

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Solution

The third proportional to 11,820.75 and 18,302.25 is: 28,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.75 : 18,302.25 = 18,302.25 : x
  2. Step 2: Convert to fraction form
    11,820.75/18,302.25 = 18,302.25/x
  3. Step 3: Cross multiply
    11,820.75x = 18,302.25 × 18,302.25
  4. Step 4: Simplify right side
    11,820.75x = 334,972,355.06
  5. Step 5: Solve for x
    x = 334,972,355.06/11,820.75
  6. Step 6: Final answer
    x = 28,337.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.