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Finding the Third Proportional to 189,786,420 and 414,378,212

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Solution

The third proportional to 189,786,420 and 414,378,212 is: 904,750,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,786,420 : 414,378,212 = 414,378,212 : x
  2. Step 2: Convert to fraction form
    189,786,420/414,378,212 = 414,378,212/x
  3. Step 3: Cross multiply
    189,786,420x = 414,378,212 × 414,378,212
  4. Step 4: Simplify right side
    189,786,420x = 171,709,302,580,316,928
  5. Step 5: Solve for x
    x = 171,709,302,580,316,928/189,786,420
  6. Step 6: Final answer
    x = 904,750,205.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.