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Finding the Third Proportional to 135,050 and 290,876

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Solution

The third proportional to 135,050 and 290,876 is: 626,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,050 : 290,876 = 290,876 : x
  2. Step 2: Convert to fraction form
    135,050/290,876 = 290,876/x
  3. Step 3: Cross multiply
    135,050x = 290,876 × 290,876
  4. Step 4: Simplify right side
    135,050x = 84,608,847,376
  5. Step 5: Solve for x
    x = 84,608,847,376/135,050
  6. Step 6: Final answer
    x = 626,500.17

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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.