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Finding the Third Proportional to 146.23 and 319.93

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Solution

The third proportional to 146.23 and 319.93 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 319.93 = 319.93 : x
  2. Step 2: Convert to fraction form
    146.23/319.93 = 319.93/x
  3. Step 3: Cross multiply
    146.23x = 319.93 × 319.93
  4. Step 4: Simplify right side
    146.23x = 102,355.00
  5. Step 5: Solve for x
    x = 102,355.00/146.23
  6. Step 6: Final answer
    x = 699.98

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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.