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Finding the Third Proportional to 428.48 and 923.77

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Solution

The third proportional to 428.48 and 923.77 is: 1,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.48 : 923.77 = 923.77 : x
  2. Step 2: Convert to fraction form
    428.48/923.77 = 923.77/x
  3. Step 3: Cross multiply
    428.48x = 923.77 × 923.77
  4. Step 4: Simplify right side
    428.48x = 853,342.93
  5. Step 5: Solve for x
    x = 853,342.93/428.48
  6. Step 6: Final answer
    x = 1,991.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.