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Finding the Third Proportional to 13,378,800 and 20,193,588

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Solution

The third proportional to 13,378,800 and 20,193,588 is: 30,479,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378,800 : 20,193,588 = 20,193,588 : x
  2. Step 2: Convert to fraction form
    13,378,800/20,193,588 = 20,193,588/x
  3. Step 3: Cross multiply
    13,378,800x = 20,193,588 × 20,193,588
  4. Step 4: Simplify right side
    13,378,800x = 407,780,996,313,744
  5. Step 5: Solve for x
    x = 407,780,996,313,744/13,378,800
  6. Step 6: Final answer
    x = 30,479,639.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.