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Finding the Third Proportional to 76,396.50 and 170,289

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Solution

The third proportional to 76,396.50 and 170,289 is: 379,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.50 : 170,289 = 170,289 : x
  2. Step 2: Convert to fraction form
    76,396.50/170,289 = 170,289/x
  3. Step 3: Cross multiply
    76,396.50x = 170,289 × 170,289
  4. Step 4: Simplify right side
    76,396.50x = 28,998,343,521
  5. Step 5: Solve for x
    x = 28,998,343,521/76,396.50
  6. Step 6: Final answer
    x = 379,576.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.