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Finding the Third Proportional to 133,141 and 289,609

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Solution

The third proportional to 133,141 and 289,609 is: 629,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141 : 289,609 = 289,609 : x
  2. Step 2: Convert to fraction form
    133,141/289,609 = 289,609/x
  3. Step 3: Cross multiply
    133,141x = 289,609 × 289,609
  4. Step 4: Simplify right side
    133,141x = 83,873,372,881
  5. Step 5: Solve for x
    x = 83,873,372,881/133,141
  6. Step 6: Final answer
    x = 629,959.01

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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.