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Finding the Third Proportional to 133,142 and 289,795

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Solution

The third proportional to 133,142 and 289,795 is: 630,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,142 : 289,795 = 289,795 : x
  2. Step 2: Convert to fraction form
    133,142/289,795 = 289,795/x
  3. Step 3: Cross multiply
    133,142x = 289,795 × 289,795
  4. Step 4: Simplify right side
    133,142x = 83,981,142,025
  5. Step 5: Solve for x
    x = 83,981,142,025/133,142
  6. Step 6: Final answer
    x = 630,763.71

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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.