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Finding the Third Proportional to 135,147 and 211,999.50

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Solution

The third proportional to 135,147 and 211,999.50 is: 332,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,147 : 211,999.50 = 211,999.50 : x
  2. Step 2: Convert to fraction form
    135,147/211,999.50 = 211,999.50/x
  3. Step 3: Cross multiply
    135,147x = 211,999.50 × 211,999.50
  4. Step 4: Simplify right side
    135,147x = 44,943,788,000.25
  5. Step 5: Solve for x
    x = 44,943,788,000.25/135,147
  6. Step 6: Final answer
    x = 332,554.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.