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Finding the Third Proportional to 146,918 and 321,520

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Solution

The third proportional to 146,918 and 321,520 is: 703,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,918 : 321,520 = 321,520 : x
  2. Step 2: Convert to fraction form
    146,918/321,520 = 321,520/x
  3. Step 3: Cross multiply
    146,918x = 321,520 × 321,520
  4. Step 4: Simplify right side
    146,918x = 103,375,110,400
  5. Step 5: Solve for x
    x = 103,375,110,400/146,918
  6. Step 6: Final answer
    x = 703,624.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.