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Finding the Third Proportional to 230.77 and 507.09

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Solution

The third proportional to 230.77 and 507.09 is: 1,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 507.09 = 507.09 : x
  2. Step 2: Convert to fraction form
    230.77/507.09 = 507.09/x
  3. Step 3: Cross multiply
    230.77x = 507.09 × 507.09
  4. Step 4: Simplify right side
    230.77x = 257,144.07
  5. Step 5: Solve for x
    x = 257,144.07/230.77
  6. Step 6: Final answer
    x = 1,114.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.