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Finding the Third Proportional to 61,091,449,158 and 131,519,573,467

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Solution

The third proportional to 61,091,449,158 and 131,519,573,467 is: 283,139,431,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,091,449,158 : 131,519,573,467 = 131,519,573,467 : x
  2. Step 2: Convert to fraction form
    61,091,449,158/131,519,573,467 = 131,519,573,467/x
  3. Step 3: Cross multiply
    61,091,449,158x = 131,519,573,467 × 131,519,573,467
  4. Step 4: Simplify right side
    61,091,449,158x = 17,297,398,204,941,610,254,336
  5. Step 5: Solve for x
    x = 17,297,398,204,941,610,254,336/61,091,449,158
  6. Step 6: Final answer
    x = 283,139,431,841.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.