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Finding the Third Proportional to 121,215,339,489 and 170,481,265,051.50

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Solution

The third proportional to 121,215,339,489 and 170,481,265,051.50 is: 239,770,493,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,215,339,489 : 170,481,265,051.50 = 170,481,265,051.50 : x
  2. Step 2: Convert to fraction form
    121,215,339,489/170,481,265,051.50 = 170,481,265,051.50/x
  3. Step 3: Cross multiply
    121,215,339,489x = 170,481,265,051.50 × 170,481,265,051.50
  4. Step 4: Simplify right side
    121,215,339,489x = 29,063,861,733,559,793,352,704
  5. Step 5: Solve for x
    x = 29,063,861,733,559,793,352,704/121,215,339,489
  6. Step 6: Final answer
    x = 239,770,493,207.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.