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Finding the Third Proportional to 135,027 and 290,830

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Solution

The third proportional to 135,027 and 290,830 is: 626,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,027 : 290,830 = 290,830 : x
  2. Step 2: Convert to fraction form
    135,027/290,830 = 290,830/x
  3. Step 3: Cross multiply
    135,027x = 290,830 × 290,830
  4. Step 4: Simplify right side
    135,027x = 84,582,088,900
  5. Step 5: Solve for x
    x = 84,582,088,900/135,027
  6. Step 6: Final answer
    x = 626,408.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.