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Finding the Third Proportional to 135,079 and 291,109

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Solution

The third proportional to 135,079 and 291,109 is: 627,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,079 : 291,109 = 291,109 : x
  2. Step 2: Convert to fraction form
    135,079/291,109 = 291,109/x
  3. Step 3: Cross multiply
    135,079x = 291,109 × 291,109
  4. Step 4: Simplify right side
    135,079x = 84,744,449,881
  5. Step 5: Solve for x
    x = 84,744,449,881/135,079
  6. Step 6: Final answer
    x = 627,369.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.