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Finding the Third Proportional to 509.73 and 1,087.80

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Solution

The third proportional to 509.73 and 1,087.80 is: 2,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 1,087.80 = 1,087.80 : x
  2. Step 2: Convert to fraction form
    509.73/1,087.80 = 1,087.80/x
  3. Step 3: Cross multiply
    509.73x = 1,087.80 × 1,087.80
  4. Step 4: Simplify right side
    509.73x = 1,183,319.04
  5. Step 5: Solve for x
    x = 1,183,319.04/509.73
  6. Step 6: Final answer
    x = 2,321.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.