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Finding the Third Proportional to 34,170 and 51,309

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Solution

The third proportional to 34,170 and 51,309 is: 77,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170 : 51,309 = 51,309 : x
  2. Step 2: Convert to fraction form
    34,170/51,309 = 51,309/x
  3. Step 3: Cross multiply
    34,170x = 51,309 × 51,309
  4. Step 4: Simplify right side
    34,170x = 2,632,613,481
  5. Step 5: Solve for x
    x = 2,632,613,481/34,170
  6. Step 6: Final answer
    x = 77,044.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.