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Finding the Third Proportional to 113,197,968,209 and 242,297,560,930

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Solution

The third proportional to 113,197,968,209 and 242,297,560,930 is: 518,632,171,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,197,968,209 : 242,297,560,930 = 242,297,560,930 : x
  2. Step 2: Convert to fraction form
    113,197,968,209/242,297,560,930 = 242,297,560,930/x
  3. Step 3: Cross multiply
    113,197,968,209x = 242,297,560,930 × 242,297,560,930
  4. Step 4: Simplify right side
    113,197,968,209x = 58,708,108,032,627,062,079,488
  5. Step 5: Solve for x
    x = 58,708,108,032,627,062,079,488/113,197,968,209
  6. Step 6: Final answer
    x = 518,632,171,243.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.