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Finding the Third Proportional to 506.88 and 782.79

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Solution

The third proportional to 506.88 and 782.79 is: 1,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 782.79 = 782.79 : x
  2. Step 2: Convert to fraction form
    506.88/782.79 = 782.79/x
  3. Step 3: Cross multiply
    506.88x = 782.79 × 782.79
  4. Step 4: Simplify right side
    506.88x = 612,758.72
  5. Step 5: Solve for x
    x = 612,758.72/506.88
  6. Step 6: Final answer
    x = 1,208.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.