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Finding the Third Proportional to 155,976 and 251,190

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Solution

The third proportional to 155,976 and 251,190 is: 404,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,976 : 251,190 = 251,190 : x
  2. Step 2: Convert to fraction form
    155,976/251,190 = 251,190/x
  3. Step 3: Cross multiply
    155,976x = 251,190 × 251,190
  4. Step 4: Simplify right side
    155,976x = 63,096,416,100
  5. Step 5: Solve for x
    x = 63,096,416,100/155,976
  6. Step 6: Final answer
    x = 404,526.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.