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Finding the Third Proportional to 506.81 and 786.94

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Solution

The third proportional to 506.81 and 786.94 is: 1,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 786.94 = 786.94 : x
  2. Step 2: Convert to fraction form
    506.81/786.94 = 786.94/x
  3. Step 3: Cross multiply
    506.81x = 786.94 × 786.94
  4. Step 4: Simplify right side
    506.81x = 619,270.63
  5. Step 5: Solve for x
    x = 619,270.63/506.81
  6. Step 6: Final answer
    x = 1,221.89

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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.