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Finding the Third Proportional to 146.77 and 319.06

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Solution

The third proportional to 146.77 and 319.06 is: 693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 319.06 = 319.06 : x
  2. Step 2: Convert to fraction form
    146.77/319.06 = 319.06/x
  3. Step 3: Cross multiply
    146.77x = 319.06 × 319.06
  4. Step 4: Simplify right side
    146.77x = 101,796.83
  5. Step 5: Solve for x
    x = 101,796.83/146.77
  6. Step 6: Final answer
    x = 693.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.