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Finding the Third Proportional to 81,840,156 and 177,302,152

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Solution

The third proportional to 81,840,156 and 177,302,152 is: 384,115,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840,156 : 177,302,152 = 177,302,152 : x
  2. Step 2: Convert to fraction form
    81,840,156/177,302,152 = 177,302,152/x
  3. Step 3: Cross multiply
    81,840,156x = 177,302,152 × 177,302,152
  4. Step 4: Simplify right side
    81,840,156x = 31,436,053,103,831,104
  5. Step 5: Solve for x
    x = 31,436,053,103,831,104/81,840,156
  6. Step 6: Final answer
    x = 384,115,263.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.