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Finding the Third Proportional to 136,350,180 and 211,559,256

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Solution

The third proportional to 136,350,180 and 211,559,256 is: 328,252,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,350,180 : 211,559,256 = 211,559,256 : x
  2. Step 2: Convert to fraction form
    136,350,180/211,559,256 = 211,559,256/x
  3. Step 3: Cross multiply
    136,350,180x = 211,559,256 × 211,559,256
  4. Step 4: Simplify right side
    136,350,180x = 44,757,318,799,273,536
  5. Step 5: Solve for x
    x = 44,757,318,799,273,536/136,350,180
  6. Step 6: Final answer
    x = 328,252,729.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.