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Finding the Third Proportional to 10,308,081 and 20,355,967.50

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Solution

The third proportional to 10,308,081 and 20,355,967.50 is: 40,198,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308,081 : 20,355,967.50 = 20,355,967.50 : x
  2. Step 2: Convert to fraction form
    10,308,081/20,355,967.50 = 20,355,967.50/x
  3. Step 3: Cross multiply
    10,308,081x = 20,355,967.50 × 20,355,967.50
  4. Step 4: Simplify right side
    10,308,081x = 414,365,412,861,056.25
  5. Step 5: Solve for x
    x = 414,365,412,861,056.25/10,308,081
  6. Step 6: Final answer
    x = 40,198,113.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.