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Finding the Third Proportional to 14,128.50 and 20,759.75

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Solution

The third proportional to 14,128.50 and 20,759.75 is: 30,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.50 : 20,759.75 = 20,759.75 : x
  2. Step 2: Convert to fraction form
    14,128.50/20,759.75 = 20,759.75/x
  3. Step 3: Cross multiply
    14,128.50x = 20,759.75 × 20,759.75
  4. Step 4: Simplify right side
    14,128.50x = 430,967,220.06
  5. Step 5: Solve for x
    x = 430,967,220.06/14,128.50
  6. Step 6: Final answer
    x = 30,503.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.