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Finding the Third Proportional to 146,403 and 319,662

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Solution

The third proportional to 146,403 and 319,662 is: 697,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,403 : 319,662 = 319,662 : x
  2. Step 2: Convert to fraction form
    146,403/319,662 = 319,662/x
  3. Step 3: Cross multiply
    146,403x = 319,662 × 319,662
  4. Step 4: Simplify right side
    146,403x = 102,183,794,244
  5. Step 5: Solve for x
    x = 102,183,794,244/146,403
  6. Step 6: Final answer
    x = 697,962.43

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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.