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Finding the Third Proportional to 136,120 and 218,530

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Solution

The third proportional to 136,120 and 218,530 is: 350,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,120 : 218,530 = 218,530 : x
  2. Step 2: Convert to fraction form
    136,120/218,530 = 218,530/x
  3. Step 3: Cross multiply
    136,120x = 218,530 × 218,530
  4. Step 4: Simplify right side
    136,120x = 47,755,360,900
  5. Step 5: Solve for x
    x = 47,755,360,900/136,120
  6. Step 6: Final answer
    x = 350,832.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.