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Finding the Third Proportional to 111,848,747,379 and 245,351,988,261

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Solution

The third proportional to 111,848,747,379 and 245,351,988,261 is: 538,205,384,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,848,747,379 : 245,351,988,261 = 245,351,988,261 : x
  2. Step 2: Convert to fraction form
    111,848,747,379/245,351,988,261 = 245,351,988,261/x
  3. Step 3: Cross multiply
    111,848,747,379x = 245,351,988,261 × 245,351,988,261
  4. Step 4: Simplify right side
    111,848,747,379x = 60,197,598,143,625,885,122,560
  5. Step 5: Solve for x
    x = 60,197,598,143,625,885,122,560/111,848,747,379
  6. Step 6: Final answer
    x = 538,205,384,988.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.