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Finding the Third Proportional to 14,223.75 and 20,820.75

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Solution

The third proportional to 14,223.75 and 20,820.75 is: 30,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.75 : 20,820.75 = 20,820.75 : x
  2. Step 2: Convert to fraction form
    14,223.75/20,820.75 = 20,820.75/x
  3. Step 3: Cross multiply
    14,223.75x = 20,820.75 × 20,820.75
  4. Step 4: Simplify right side
    14,223.75x = 433,503,630.56
  5. Step 5: Solve for x
    x = 433,503,630.56/14,223.75
  6. Step 6: Final answer
    x = 30,477.45

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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.