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Finding the Third Proportional to 129,616 and 203,064

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Solution

The third proportional to 129,616 and 203,064 is: 318,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,616 : 203,064 = 203,064 : x
  2. Step 2: Convert to fraction form
    129,616/203,064 = 203,064/x
  3. Step 3: Cross multiply
    129,616x = 203,064 × 203,064
  4. Step 4: Simplify right side
    129,616x = 41,234,988,096
  5. Step 5: Solve for x
    x = 41,234,988,096/129,616
  6. Step 6: Final answer
    x = 318,131.93

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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.