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Finding the Third Proportional to 133,826,289.75 and 204,585,882.75

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Solution

The third proportional to 133,826,289.75 and 204,585,882.75 is: 312,759,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,826,289.75 : 204,585,882.75 = 204,585,882.75 : x
  2. Step 2: Convert to fraction form
    133,826,289.75/204,585,882.75 = 204,585,882.75/x
  3. Step 3: Cross multiply
    133,826,289.75x = 204,585,882.75 × 204,585,882.75
  4. Step 4: Simplify right side
    133,826,289.75x = 41,855,383,420,596,744
  5. Step 5: Solve for x
    x = 41,855,383,420,596,744/133,826,289.75
  6. Step 6: Final answer
    x = 312,759,051.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.