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Finding the Third Proportional to 76,974,484.50 and 159,405,812

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Solution

The third proportional to 76,974,484.50 and 159,405,812 is: 330,112,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974,484.50 : 159,405,812 = 159,405,812 : x
  2. Step 2: Convert to fraction form
    76,974,484.50/159,405,812 = 159,405,812/x
  3. Step 3: Cross multiply
    76,974,484.50x = 159,405,812 × 159,405,812
  4. Step 4: Simplify right side
    76,974,484.50x = 25,410,212,899,379,344
  5. Step 5: Solve for x
    x = 25,410,212,899,379,344/76,974,484.50
  6. Step 6: Final answer
    x = 330,112,154.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.