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Finding the Third Proportional to 135,909 and 276,328.50

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Solution

The third proportional to 135,909 and 276,328.50 is: 561,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,909 : 276,328.50 = 276,328.50 : x
  2. Step 2: Convert to fraction form
    135,909/276,328.50 = 276,328.50/x
  3. Step 3: Cross multiply
    135,909x = 276,328.50 × 276,328.50
  4. Step 4: Simplify right side
    135,909x = 76,357,439,912.25
  5. Step 5: Solve for x
    x = 76,357,439,912.25/135,909
  6. Step 6: Final answer
    x = 561,827.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.