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Finding the Third Proportional to 512.06 and 782.81

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Solution

The third proportional to 512.06 and 782.81 is: 1,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 782.81 = 782.81 : x
  2. Step 2: Convert to fraction form
    512.06/782.81 = 782.81/x
  3. Step 3: Cross multiply
    512.06x = 782.81 × 782.81
  4. Step 4: Simplify right side
    512.06x = 612,795.41
  5. Step 5: Solve for x
    x = 612,795.41/512.06
  6. Step 6: Final answer
    x = 1,196.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.