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Finding the Third Proportional to 59,149 and 129,946

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Solution

The third proportional to 59,149 and 129,946 is: 285,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,149 : 129,946 = 129,946 : x
  2. Step 2: Convert to fraction form
    59,149/129,946 = 129,946/x
  3. Step 3: Cross multiply
    59,149x = 129,946 × 129,946
  4. Step 4: Simplify right side
    59,149x = 16,885,962,916
  5. Step 5: Solve for x
    x = 16,885,962,916/59,149
  6. Step 6: Final answer
    x = 285,481.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.