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Finding the Third Proportional to 135,337,212 and 203,047,290

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Solution

The third proportional to 135,337,212 and 203,047,290 is: 304,633,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,337,212 : 203,047,290 = 203,047,290 : x
  2. Step 2: Convert to fraction form
    135,337,212/203,047,290 = 203,047,290/x
  3. Step 3: Cross multiply
    135,337,212x = 203,047,290 × 203,047,290
  4. Step 4: Simplify right side
    135,337,212x = 41,228,201,976,344,096
  5. Step 5: Solve for x
    x = 41,228,201,976,344,096/135,337,212
  6. Step 6: Final answer
    x = 304,633,155.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.