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Finding the Third Proportional to 128,379.50 and 170,385

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Solution

The third proportional to 128,379.50 and 170,385 is: 226,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,379.50 : 170,385 = 170,385 : x
  2. Step 2: Convert to fraction form
    128,379.50/170,385 = 170,385/x
  3. Step 3: Cross multiply
    128,379.50x = 170,385 × 170,385
  4. Step 4: Simplify right side
    128,379.50x = 29,031,048,225
  5. Step 5: Solve for x
    x = 29,031,048,225/128,379.50
  6. Step 6: Final answer
    x = 226,134.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.