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Finding the Third Proportional to 133,742 and 291,458

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Solution

The third proportional to 133,742 and 291,458 is: 635,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,742 : 291,458 = 291,458 : x
  2. Step 2: Convert to fraction form
    133,742/291,458 = 291,458/x
  3. Step 3: Cross multiply
    133,742x = 291,458 × 291,458
  4. Step 4: Simplify right side
    133,742x = 84,947,765,764
  5. Step 5: Solve for x
    x = 84,947,765,764/133,742
  6. Step 6: Final answer
    x = 635,161.47

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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.