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Finding the Third Proportional to 15,213 and 23,145

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Solution

The third proportional to 15,213 and 23,145 is: 35,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213 : 23,145 = 23,145 : x
  2. Step 2: Convert to fraction form
    15,213/23,145 = 23,145/x
  3. Step 3: Cross multiply
    15,213x = 23,145 × 23,145
  4. Step 4: Simplify right side
    15,213x = 535,691,025
  5. Step 5: Solve for x
    x = 535,691,025/15,213
  6. Step 6: Final answer
    x = 35,212.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.