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Finding the Third Proportional to 15,330 and 34,629

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Solution

The third proportional to 15,330 and 34,629 is: 78,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,330 : 34,629 = 34,629 : x
  2. Step 2: Convert to fraction form
    15,330/34,629 = 34,629/x
  3. Step 3: Cross multiply
    15,330x = 34,629 × 34,629
  4. Step 4: Simplify right side
    15,330x = 1,199,167,641
  5. Step 5: Solve for x
    x = 1,199,167,641/15,330
  6. Step 6: Final answer
    x = 78,223.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.