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Finding the Third Proportional to 115,611,346.20 and 269,769,123

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Solution

The third proportional to 115,611,346.20 and 269,769,123 is: 629,483,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,611,346.20 : 269,769,123 = 269,769,123 : x
  2. Step 2: Convert to fraction form
    115,611,346.20/269,769,123 = 269,769,123/x
  3. Step 3: Cross multiply
    115,611,346.20x = 269,769,123 × 269,769,123
  4. Step 4: Simplify right side
    115,611,346.20x = 72,775,379,724,189,136
  5. Step 5: Solve for x
    x = 72,775,379,724,189,136/115,611,346.20
  6. Step 6: Final answer
    x = 629,483,023.24

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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.