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Finding the Third Proportional to 146,299 and 319,406

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Solution

The third proportional to 146,299 and 319,406 is: 697,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,299 : 319,406 = 319,406 : x
  2. Step 2: Convert to fraction form
    146,299/319,406 = 319,406/x
  3. Step 3: Cross multiply
    146,299x = 319,406 × 319,406
  4. Step 4: Simplify right side
    146,299x = 102,020,192,836
  5. Step 5: Solve for x
    x = 102,020,192,836/146,299
  6. Step 6: Final answer
    x = 697,340.33

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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.