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Finding the Third Proportional to 170,138 and 251,317

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Solution

The third proportional to 170,138 and 251,317 is: 371,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,138 : 251,317 = 251,317 : x
  2. Step 2: Convert to fraction form
    170,138/251,317 = 251,317/x
  3. Step 3: Cross multiply
    170,138x = 251,317 × 251,317
  4. Step 4: Simplify right side
    170,138x = 63,160,234,489
  5. Step 5: Solve for x
    x = 63,160,234,489/170,138
  6. Step 6: Final answer
    x = 371,229.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.