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Finding the Third Proportional to 503 and 728.56

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Solution

The third proportional to 503 and 728.56 is: 1,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 728.56 = 728.56 : x
  2. Step 2: Convert to fraction form
    503/728.56 = 728.56/x
  3. Step 3: Cross multiply
    503x = 728.56 × 728.56
  4. Step 4: Simplify right side
    503x = 530,803.32
  5. Step 5: Solve for x
    x = 530,803.32/503
  6. Step 6: Final answer
    x = 1,055.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.