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Finding the Third Proportional to 129,608 and 203,052

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Solution

The third proportional to 129,608 and 203,052 is: 318,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,608 : 203,052 = 203,052 : x
  2. Step 2: Convert to fraction form
    129,608/203,052 = 203,052/x
  3. Step 3: Cross multiply
    129,608x = 203,052 × 203,052
  4. Step 4: Simplify right side
    129,608x = 41,230,114,704
  5. Step 5: Solve for x
    x = 41,230,114,704/129,608
  6. Step 6: Final answer
    x = 318,113.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.