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Finding the Third Proportional to 80,135,610 and 119,731,680

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Solution

The third proportional to 80,135,610 and 119,731,680 is: 178,892,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,135,610 : 119,731,680 = 119,731,680 : x
  2. Step 2: Convert to fraction form
    80,135,610/119,731,680 = 119,731,680/x
  3. Step 3: Cross multiply
    80,135,610x = 119,731,680 × 119,731,680
  4. Step 4: Simplify right side
    80,135,610x = 14,335,675,195,622,400
  5. Step 5: Solve for x
    x = 14,335,675,195,622,400/80,135,610
  6. Step 6: Final answer
    x = 178,892,694.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.