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Finding the Third Proportional to 146,057 and 319,147

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Solution

The third proportional to 146,057 and 319,147 is: 697,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,057 : 319,147 = 319,147 : x
  2. Step 2: Convert to fraction form
    146,057/319,147 = 319,147/x
  3. Step 3: Cross multiply
    146,057x = 319,147 × 319,147
  4. Step 4: Simplify right side
    146,057x = 101,854,807,609
  5. Step 5: Solve for x
    x = 101,854,807,609/146,057
  6. Step 6: Final answer
    x = 697,363.41

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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.