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Finding the Third Proportional to 503.09 and 788.80

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Solution

The third proportional to 503.09 and 788.80 is: 1,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.09 : 788.80 = 788.80 : x
  2. Step 2: Convert to fraction form
    503.09/788.80 = 788.80/x
  3. Step 3: Cross multiply
    503.09x = 788.80 × 788.80
  4. Step 4: Simplify right side
    503.09x = 622,206.67
  5. Step 5: Solve for x
    x = 622,206.67/503.09
  6. Step 6: Final answer
    x = 1,236.78

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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.