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Finding the Third Proportional to 509.06 and 786.56

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Solution

The third proportional to 509.06 and 786.56 is: 1,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 786.56 = 786.56 : x
  2. Step 2: Convert to fraction form
    509.06/786.56 = 786.56/x
  3. Step 3: Cross multiply
    509.06x = 786.56 × 786.56
  4. Step 4: Simplify right side
    509.06x = 618,680.57
  5. Step 5: Solve for x
    x = 618,680.57/509.06
  6. Step 6: Final answer
    x = 1,215.33

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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.