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Finding the Third Proportional to 15,739 and 34,245

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Solution

The third proportional to 15,739 and 34,245 is: 74,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,739 : 34,245 = 34,245 : x
  2. Step 2: Convert to fraction form
    15,739/34,245 = 34,245/x
  3. Step 3: Cross multiply
    15,739x = 34,245 × 34,245
  4. Step 4: Simplify right side
    15,739x = 1,172,720,025
  5. Step 5: Solve for x
    x = 1,172,720,025/15,739
  6. Step 6: Final answer
    x = 74,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.