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Finding the Third Proportional to 113,197,970,016 and 242,297,564,544

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Solution

The third proportional to 113,197,970,016 and 242,297,564,544 is: 518,632,178,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,197,970,016 : 242,297,564,544 = 242,297,564,544 : x
  2. Step 2: Convert to fraction form
    113,197,970,016/242,297,564,544 = 242,297,564,544/x
  3. Step 3: Cross multiply
    113,197,970,016x = 242,297,564,544 × 242,297,564,544
  4. Step 4: Simplify right side
    113,197,970,016x = 58,708,109,783,953,848,664,064
  5. Step 5: Solve for x
    x = 58,708,109,783,953,848,664,064/113,197,970,016
  6. Step 6: Final answer
    x = 518,632,178,436.20

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Why These Related Problems?

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