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Finding the Third Proportional to 313.78 and 491.53

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Solution

The third proportional to 313.78 and 491.53 is: 769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 491.53 = 491.53 : x
  2. Step 2: Convert to fraction form
    313.78/491.53 = 491.53/x
  3. Step 3: Cross multiply
    313.78x = 491.53 × 491.53
  4. Step 4: Simplify right side
    313.78x = 241,602.97
  5. Step 5: Solve for x
    x = 241,602.97/313.78
  6. Step 6: Final answer
    x = 769.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.