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Finding the Third Proportional to 133,869 and 291,063

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Solution

The third proportional to 133,869 and 291,063 is: 632,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,869 : 291,063 = 291,063 : x
  2. Step 2: Convert to fraction form
    133,869/291,063 = 291,063/x
  3. Step 3: Cross multiply
    133,869x = 291,063 × 291,063
  4. Step 4: Simplify right side
    133,869x = 84,717,669,969
  5. Step 5: Solve for x
    x = 84,717,669,969/133,869
  6. Step 6: Final answer
    x = 632,840.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.