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Finding the Third Proportional to 118,385,988,096 and 276,243,518,190

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Solution

The third proportional to 118,385,988,096 and 276,243,518,190 is: 644,590,483,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,385,988,096 : 276,243,518,190 = 276,243,518,190 : x
  2. Step 2: Convert to fraction form
    118,385,988,096/276,243,518,190 = 276,243,518,190/x
  3. Step 3: Cross multiply
    118,385,988,096x = 276,243,518,190 × 276,243,518,190
  4. Step 4: Simplify right side
    118,385,988,096x = 76,310,481,341,988,858,757,120
  5. Step 5: Solve for x
    x = 76,310,481,341,988,858,757,120/118,385,988,096
  6. Step 6: Final answer
    x = 644,590,483,800.40

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.