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Finding the Third Proportional to 291,057 and 434,790

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Solution

The third proportional to 291,057 and 434,790 is: 649,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,057 : 434,790 = 434,790 : x
  2. Step 2: Convert to fraction form
    291,057/434,790 = 434,790/x
  3. Step 3: Cross multiply
    291,057x = 434,790 × 434,790
  4. Step 4: Simplify right side
    291,057x = 189,042,344,100
  5. Step 5: Solve for x
    x = 189,042,344,100/291,057
  6. Step 6: Final answer
    x = 649,502.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.