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Finding the Third Proportional to 194,544,760 and 303,595,190

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Solution

The third proportional to 194,544,760 and 303,595,190 is: 473,772,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544,760 : 303,595,190 = 303,595,190 : x
  2. Step 2: Convert to fraction form
    194,544,760/303,595,190 = 303,595,190/x
  3. Step 3: Cross multiply
    194,544,760x = 303,595,190 × 303,595,190
  4. Step 4: Simplify right side
    194,544,760x = 92,170,039,391,136,096
  5. Step 5: Solve for x
    x = 92,170,039,391,136,096/194,544,760
  6. Step 6: Final answer
    x = 473,772,921.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.