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Finding the Third Proportional to 319.63 and 494.94

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Solution

The third proportional to 319.63 and 494.94 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.63 : 494.94 = 494.94 : x
  2. Step 2: Convert to fraction form
    319.63/494.94 = 494.94/x
  3. Step 3: Cross multiply
    319.63x = 494.94 × 494.94
  4. Step 4: Simplify right side
    319.63x = 244,963.13
  5. Step 5: Solve for x
    x = 244,963.13/319.63
  6. Step 6: Final answer
    x = 766.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.